128:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
Inecuaciones con funciones :@0.404235:0.112786:0.740003:0.112786:0.740003:0.068127:0.404235:0.068127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponenciales y logarítmicas:@0.404235:0.150505:0.756990:0.150505:0.756990:0.105846:0.404235:0.105846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.77. Aplicar las propiedades de los exponentes y los logaritmos para resolver ecuaciones e inecuaciones con funciones exponenciales y logarítmicas, con ayuda de las :@0.148948:0.950946:0.888391:0.950946:0.888391:0.940904:0.148948:0.940904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC.:@0.148948:0.959747:0.166291:0.959747:0.166291:0.949705:0.148948:0.949705:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.115710:0.307805:0.115710:0.307805:0.100238:0.199646:0.100238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es una inecuación?:@0.199884:0.144338:0.359179:0.144338:0.359179:0.129274:0.199884:0.129274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.186876:0.363493:0.186876:0.363493:0.171403:0.199646:0.171403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuáles son las propie-:@0.199884:0.215503:0.346196:0.215503:0.346196:0.200440:0.199884:0.200440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dades de las inecuaciones?:@0.153341:0.231345:0.325033:0.231345:0.325033:0.216282:0.153341:0.216282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que…:@0.199644:0.349225:0.309404:0.349225:0.309404:0.333752:0.199644:0.333752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   > 0 con   ≠ 1. Se ha :@0.199880:0.377852:0.365314:0.377852:0.365314:0.362789:0.199880:0.362789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.225052:0.377958:0.233249:0.377958:0.233249:0.362921:0.225052:0.362921:0.000000
a:@0.289027:0.377958:0.297224:0.377958:0.297224:0.362921:0.289027:0.362921:0.000000
visto que la función exponencial :@0.153355:0.393694:0.361709:0.393694:0.361709:0.378631:0.153355:0.378631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Exp:@0.153355:0.409642:0.175993:0.409642:0.175993:0.394605:0.153355:0.394605:0.000000:0.000000:0.000000
a:@0.175894:0.412590:0.180673:0.412590:0.180673:0.403823:0.175894:0.403823:0.000000
 para 0 <   < 1 es estricta-:@0.180580:0.409536:0.344113:0.409536:0.344113:0.394473:0.180580:0.394473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.240263:0.409642:0.248460:0.409642:0.248460:0.394605:0.240263:0.394605:0.000000
mente decreciente, esto es,:@0.153351:0.425378:0.324113:0.425378:0.324113:0.410315:0.153351:0.410315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.153351:0.448455:0.177812:0.448453:0.177812:0.433417:0.153351:0.433418:0.000000:0.000000:0.000000
1:@0.160169:0.451340:0.164691:0.451340:0.164691:0.442558:0.160169:0.442558:0.000000
,      ,   <     :@0.164690:0.448348:0.284813:0.448348:0.284813:0.433285:0.164690:0.433285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.177812:0.451340:0.182335:0.451340:0.182335:0.442558:0.177812:0.442558:0.000000
:@0.186117:0.447999:0.200071:0.447999:0.200071:0.435263:0.186117:0.435263:0.000000
:@0.203852:0.447345:0.215948:0.447345:0.215948:0.435652:0.203852:0.435652:0.000000
x:@0.222245:0.448453:0.229070:0.448453:0.229070:0.433417:0.222245:0.433417:0.000000
1:@0.229070:0.451340:0.233592:0.451340:0.233592:0.442558:0.229070:0.442558:0.000000
x:@0.251023:0.448453:0.257848:0.448453:0.257848:0.433417:0.251023:0.433417:0.000000
2:@0.257849:0.451340:0.262371:0.451340:0.262371:0.442558:0.257849:0.442558:0.000000
⇒:@0.266153:0.447471:0.281034:0.447471:0.281034:0.433609:0.266153:0.433609:0.000000
exp x:@0.153345:0.464295:0.192458:0.464295:0.192458:0.449259:0.153345:0.449259:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.175419:0.467243:0.180197:0.467243:0.180197:0.458477:0.175419:0.458477:0.000000
( ) > :@0.180198:0.464190:0.219846:0.464190:0.219846:0.449127:0.180198:0.449127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.192457:0.467182:0.196980:0.467182:0.196980:0.458400:0.192457:0.458400:0.000000
exp x:@0.219846:0.464295:0.258960:0.464295:0.258960:0.449259:0.219846:0.449259:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.241921:0.467243:0.246699:0.467243:0.246699:0.458477:0.241921:0.458477:0.000000
( ),:@0.246700:0.464190:0.271432:0.464190:0.271432:0.449127:0.246700:0.449127:0.000000:0.000000:0.000000:0.000000
2:@0.258959:0.467182:0.263482:0.467182:0.263482:0.458400:0.258959:0.458400:0.000000
mientras que para   > 1, esta :@0.153350:0.487161:0.344022:0.487161:0.344022:0.472098:0.153350:0.472098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.274614:0.487266:0.282811:0.487266:0.282811:0.472230:0.274614:0.472230:0.000000
función es estrictamente cre-:@0.153350:0.503003:0.342337:0.503003:0.342337:0.487940:0.153350:0.487940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciente::@0.153350:0.518845:0.195232:0.518845:0.195232:0.503782:0.153350:0.503782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.153350:0.541921:0.177812:0.541920:0.177812:0.526883:0.153350:0.526885:0.000000:0.000000:0.000000
1:@0.160169:0.544806:0.164691:0.544806:0.164691:0.536024:0.160169:0.536024:0.000000
,      ,   <     :@0.164690:0.541814:0.284813:0.541814:0.284813:0.526751:0.164690:0.526751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.177812:0.544806:0.182335:0.544806:0.182335:0.536024:0.177812:0.536024:0.000000
:@0.186117:0.541465:0.200071:0.541465:0.200071:0.528729:0.186117:0.528729:0.000000
:@0.203852:0.540812:0.215948:0.540812:0.215948:0.529119:0.203852:0.529119:0.000000
x:@0.222245:0.541920:0.229070:0.541920:0.229070:0.526883:0.222245:0.526883:0.000000
1:@0.229070:0.544806:0.233592:0.544806:0.233592:0.536024:0.229070:0.536024:0.000000
x:@0.251023:0.541920:0.257848:0.541920:0.257848:0.526883:0.251023:0.526883:0.000000
2:@0.257849:0.544806:0.262371:0.544806:0.262371:0.536024:0.257849:0.536024:0.000000
⇒:@0.266153:0.540937:0.281034:0.540937:0.281034:0.527076:0.266153:0.527076:0.000000
exp x:@0.153345:0.557762:0.192458:0.557762:0.192458:0.542725:0.153345:0.542725:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.175419:0.560710:0.180197:0.560710:0.180197:0.551943:0.175419:0.551943:0.000000
( ) < :@0.180198:0.557656:0.219846:0.557656:0.219846:0.542593:0.180198:0.542593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.192457:0.560648:0.196980:0.560648:0.196980:0.551866:0.192457:0.551866:0.000000
exp x:@0.219846:0.557762:0.258960:0.557762:0.258960:0.542725:0.219846:0.542725:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.241921:0.560710:0.246699:0.560710:0.246699:0.551943:0.241921:0.551943:0.000000
( ).:@0.246700:0.557656:0.271432:0.557656:0.271432:0.542593:0.246700:0.542593:0.000000:0.000000:0.000000:0.000000
2:@0.258959:0.560648:0.263482:0.560648:0.263482:0.551866:0.258959:0.551866:0.000000
Estos dos resultados nos per-:@0.153350:0.584192:0.340859:0.584192:0.340859:0.569129:0.153350:0.569129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miten resolver inecuaciones en :@0.153350:0.600034:0.357427:0.600034:0.357427:0.584971:0.153350:0.584971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las que intervienen funciones :@0.153350:0.615876:0.346346:0.615876:0.346346:0.600813:0.153350:0.600813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponenciales de la misma :@0.153350:0.631718:0.330356:0.631718:0.330356:0.616655:0.153350:0.616655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base  .:@0.153350:0.647560:0.197219:0.647560:0.197219:0.632497:0.153350:0.632497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.186507:0.647665:0.194704:0.647665:0.194704:0.632629:0.186507:0.632629:0.000000
De manera general, si :@0.153344:0.670527:0.294724:0.670527:0.294724:0.655464:0.153344:0.655464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.153344:0.686473:0.159905:0.686473:0.159905:0.671437:0.153344:0.671437:0.000000
 ≤ 0, el conjunto solución de la :@0.159905:0.686368:0.362796:0.686368:0.362796:0.671305:0.159905:0.671305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuación es::@0.153344:0.702209:0.244067:0.702209:0.244067:0.687147:0.153344:0.687147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.179693:0.725284:0.186886:0.725284:0.186886:0.710248:0.179693:0.710248:0.000000
 = {      |   ≤  } = Ø.:@0.186886:0.725179:0.335141:0.725179:0.335141:0.710117:0.186886:0.710116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.209664:0.725284:0.216489:0.725284:0.216489:0.710248:0.209664:0.710248:0.000000
:@0.220278:0.724706:0.233656:0.724706:0.233656:0.712496:0.220278:0.712496:0.000000
:@0.237438:0.724187:0.249585:0.724187:0.249585:0.712443:0.237438:0.712443:0.000000
a:@0.261720:0.725285:0.269916:0.725285:0.269916:0.710249:0.261720:0.710249:0.000000
x:@0.269934:0.719440:0.273913:0.719440:0.273913:0.710674:0.269934:0.710674:0.000000
c:@0.291343:0.725285:0.297904:0.725285:0.297904:0.710249:0.291343:0.710249:0.000000
Si   > 0,:@0.153339:0.748149:0.202166:0.748149:0.202166:0.733086:0.153339:0.733086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.167903:0.748254:0.174463:0.748254:0.174463:0.733218:0.167903:0.733218:0.000000
S:@0.153339:0.764096:0.160533:0.764096:0.160533:0.749060:0.153339:0.749060:0.000000
' = {      |   ≤  } = ]–∞, :@0.160269:0.763990:0.316059:0.763989:0.316059:0.748927:0.160269:0.748928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.182678:0.764096:0.189502:0.764096:0.189502:0.749060:0.182678:0.749060:0.000000
:@0.192085:0.763516:0.205463:0.763516:0.205463:0.751306:0.192085:0.751306:0.000000
:@0.208071:0.762997:0.220218:0.762997:0.220218:0.751254:0.208071:0.751254:0.000000
a:@0.229973:0.764095:0.238170:0.764095:0.238170:0.749059:0.229973:0.749059:0.000000
x:@0.237920:0.758250:0.241899:0.758250:0.241899:0.749484:0.237920:0.749484:0.000000
c:@0.257047:0.764095:0.263608:0.764095:0.263608:0.749059:0.257047:0.749059:0.000000
log c:@0.315127:0.764095:0.348990:0.764095:0.348990:0.749059:0.315127:0.749059:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.332635:0.767043:0.337413:0.767043:0.337413:0.758277:0.332635:0.758277:0.000000
( )[.:@0.337258:0.763989:0.361496:0.763989:0.361496:0.748927:0.337258:0.748927:0.000000:0.000000:0.000000:0.000000:0.000000
Si   ≤ 0,:@0.153346:0.786959:0.202173:0.786959:0.202173:0.771897:0.153346:0.771897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.167910:0.787065:0.174471:0.787065:0.174471:0.772029:0.167910:0.772029:0.000000
S:@0.153346:0.802906:0.160540:0.802906:0.160540:0.787870:0.153346:0.787870:0.000000
1:@0.160537:0.805792:0.165060:0.805792:0.165060:0.797010:0.160537:0.797010:0.000000
 = {      |   ≤  } = Ø,:@0.165061:0.802800:0.313306:0.802800:0.313306:0.787737:0.165061:0.787737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.187839:0.802905:0.194663:0.802905:0.194663:0.787869:0.187839:0.787869:0.000000
:@0.198443:0.802326:0.211821:0.802326:0.211821:0.790116:0.198443:0.790116:0.000000
:@0.215603:0.801807:0.227750:0.801807:0.227750:0.790064:0.215603:0.790064:0.000000
a:@0.239886:0.802905:0.248083:0.802905:0.248083:0.787869:0.239886:0.787869:0.000000
x:@0.248099:0.797062:0.252078:0.797062:0.252078:0.788296:0.248099:0.788296:0.000000
c:@0.269508:0.802905:0.276069:0.802905:0.276069:0.787869:0.269508:0.787869:0.000000
S:@0.153349:0.818747:0.160543:0.818747:0.160543:0.803711:0.153349:0.803711:0.000000
2:@0.160537:0.821633:0.165060:0.821633:0.165060:0.812852:0.160537:0.812852:0.000000
 = {      |   >  } =  .:@0.165061:0.818640:0.313508:0.818640:0.313508:0.803578:0.165061:0.803578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.187839:0.818746:0.194663:0.818746:0.194663:0.803710:0.187839:0.803710:0.000000
:@0.198443:0.818167:0.211821:0.818167:0.211821:0.805957:0.198443:0.805957:0.000000
:@0.215603:0.817648:0.227750:0.817648:0.227750:0.805905:0.215603:0.805905:0.000000
a:@0.239886:0.818746:0.248083:0.818746:0.248083:0.803710:0.239886:0.803710:0.000000
x:@0.248099:0.812903:0.252078:0.812903:0.252078:0.804137:0.248099:0.804137:0.000000
c:@0.269508:0.818746:0.276069:0.818746:0.276069:0.803710:0.269508:0.803710:0.000000
:@0.298847:0.817648:0.310994:0.817648:0.310994:0.805905:0.298847:0.805905:0.000000
Sea   > 1, la desigualdad   ≥ 1 se verifica para todo     [0, ∞[ y la :@0.404236:0.170841:0.902075:0.170841:0.902075:0.154344:0.404236:0.154344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.433924:0.170957:0.442902:0.170957:0.442902:0.154488:0.433924:0.154488:0.000000
a:@0.589123:0.170957:0.598100:0.170957:0.598100:0.154488:0.589123:0.154488:0.000000
x:@0.598133:0.164556:0.602491:0.164556:0.602491:0.154955:0.598133:0.154955:0.000000
x:@0.792190:0.170957:0.799665:0.170957:0.799665:0.154488:0.792190:0.154488:0.000000
:@0.805257:0.170323:0.819909:0.170323:0.819909:0.156950:0.805257:0.156950:0.000000
desigualdad   < 1 se verifica para todo     ]–∞, 0[. Escribimos::@0.404241:0.188192:0.854182:0.188192:0.854182:0.171695:0.404241:0.171695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.493054:0.188308:0.502032:0.188308:0.502032:0.171839:0.493054:0.171839:0.000000
x:@0.502043:0.181907:0.506401:0.181907:0.506401:0.172305:0.502043:0.172305:0.000000
x:@0.686124:0.188308:0.693599:0.188308:0.693599:0.171839:0.686124:0.171839:0.000000
:@0.697740:0.187674:0.712392:0.187674:0.712392:0.174300:0.697740:0.174300:0.000000
S:@0.549157:0.212787:0.557036:0.212787:0.557036:0.196318:0.549157:0.196318:0.000000
1:@0.557043:0.215947:0.561996:0.215947:0.561996:0.206329:0.557043:0.206329:0.000000
 = {      |   ≥ 1} = [0, ∞[,:@0.561997:0.212671:0.753016:0.212671:0.753016:0.196173:0.561997:0.196173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.586945:0.212786:0.594420:0.212786:0.594420:0.196317:0.586945:0.196317:0.000000
:@0.598561:0.212152:0.613213:0.212152:0.613213:0.198779:0.598561:0.198779:0.000000
:@0.617355:0.211584:0.630660:0.211584:0.630660:0.198721:0.617355:0.198721:0.000000
a:@0.643953:0.212786:0.652931:0.212786:0.652931:0.196317:0.643953:0.196317:0.000000
x:@0.652949:0.206385:0.657307:0.206385:0.657307:0.196784:0.652949:0.196784:0.000000
y lo denominamos conjunto solución de la inecuación   ≥ 1. Ponemos::@0.404238:0.242846:0.897922:0.242846:0.897922:0.226348:0.404238:0.226349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.783893:0.242962:0.792870:0.242962:0.792870:0.226493:0.783893:0.226493:0.000000
x:@0.792748:0.236560:0.797106:0.236560:0.797106:0.226959:0.792748:0.226959:0.000000
S:@0.543905:0.267440:0.551785:0.267440:0.551785:0.250972:0.543905:0.250972:0.000000
2:@0.551793:0.270602:0.556746:0.270602:0.556746:0.260984:0.551793:0.260984:0.000000
 = {      |   < 1} = ]–∞, 0[,:@0.556747:0.267324:0.758265:0.267324:0.758265:0.250827:0.556747:0.250827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.581695:0.267440:0.589170:0.267440:0.589170:0.250971:0.581695:0.250971:0.000000
:@0.593310:0.266806:0.607963:0.266806:0.607963:0.253432:0.593310:0.253432:0.000000
:@0.612105:0.266237:0.625410:0.266237:0.625410:0.253375:0.612105:0.253375:0.000000
a:@0.638703:0.267440:0.647680:0.267440:0.647680:0.250971:0.638703:0.250971:0.000000
x:@0.647699:0.261040:0.652057:0.261040:0.652057:0.251439:0.647699:0.251439:0.000000
y se llama conjunto solución de la inecuación   < 1.:@0.404228:0.297500:0.774609:0.297499:0.774609:0.281002:0.404228:0.281002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.730905:0.297616:0.739883:0.297616:0.739883:0.281147:0.730905:0.281147:0.000000
x:@0.739909:0.291215:0.744267:0.291215:0.744267:0.281614:0.739909:0.281614:0.000000
Para 0 <   < 1, la desigualdad   ≥ 1 se verifica para todo     ]–∞, 0[. :@0.404235:0.329179:0.902086:0.329183:0.902086:0.312686:0.404235:0.312681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.467367:0.329295:0.476344:0.329295:0.476344:0.312826:0.467367:0.312826:0.000000
a:@0.617212:0.329295:0.626190:0.329295:0.626190:0.312826:0.617212:0.312826:0.000000
x:@0.626221:0.322899:0.630578:0.322899:0.630578:0.313298:0.626221:0.313298:0.000000
x:@0.812789:0.329299:0.820264:0.329299:0.820264:0.312830:0.812789:0.312830:0.000000
:@0.824763:0.328665:0.839416:0.328665:0.839416:0.315291:0.824763:0.315291:0.000000
Ponemos   = {      |   ≥ 1} = ]–∞, 0] y es el conjunto solución de la :@0.404234:0.346534:0.902055:0.346534:0.902055:0.330036:0.404234:0.330036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.474764:0.346650:0.482643:0.346650:0.482643:0.330181:0.474764:0.330181:0.000000
x:@0.507399:0.346650:0.514874:0.346650:0.514874:0.330181:0.507399:0.330181:0.000000
:@0.518931:0.346016:0.533584:0.346016:0.533584:0.332642:0.518931:0.332642:0.000000
:@0.537632:0.345447:0.550937:0.345447:0.550937:0.332585:0.537632:0.332585:0.000000
a:@0.564037:0.346650:0.573015:0.346650:0.573015:0.330181:0.564037:0.330181:0.000000
x:@0.573040:0.340250:0.577398:0.340250:0.577398:0.330649:0.573040:0.330649:0.000000
inecuación   ≥ 1.:@0.404241:0.363885:0.529887:0.363885:0.529887:0.347387:0.404241:0.347387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.486196:0.364001:0.495173:0.364001:0.495173:0.347532:0.486196:0.347532:0.000000
x:@0.495187:0.357601:0.499544:0.357601:0.499544:0.347999:0.495187:0.347999:0.000000
Ejemplos resueltos:@0.404239:0.398962:0.534585:0.398962:0.534585:0.382175:0.404239:0.382175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.404239:0.416154:0.416511:0.416154:0.416511:0.399439:0.404239:0.399439:0.000000:0.000000
  Resuelve la inecuación 2:@0.416511:0.415937:0.599664:0.415937:0.599664:0.399439:0.416511:0.399439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 –1:@0.599670:0.409585:0.620055:0.409585:0.620055:0.399967:0.599670:0.399967:0.000000:0.000000:0.000000:0.000000
x:@0.604623:0.409653:0.608981:0.409653:0.608981:0.400052:0.604623:0.400052:0.000000
 > 2:@0.620054:0.415937:0.647642:0.415937:0.647642:0.399439:0.620054:0.399439:0.000000:0.000000:0.000000:0.000000
–3 +15:@0.647642:0.409585:0.679281:0.409585:0.679281:0.399967:0.647642:0.399967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.658716:0.409653:0.663074:0.409653:0.663074:0.400052:0.658716:0.400052:0.000000
.:@0.679280:0.415937:0.682035:0.415937:0.682035:0.399439:0.679280:0.399439:0.000000
 :@0.404230:0.433288:0.408372:0.433288:0.408372:0.416790:0.404230:0.416790:0.000000
Tomando en consideración que la función :@0.427965:0.433288:0.741392:0.433288:0.741392:0.416790:0.427965:0.416790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Exp:@0.743125:0.433404:0.768267:0.433404:0.768267:0.416935:0.743125:0.416935:0.000000:0.000000:0.000000
a:@0.768396:0.436633:0.773630:0.436633:0.773630:0.427032:0.768396:0.427032:0.000000
 es estrictamente :@0.773630:0.433288:0.902070:0.433288:0.902070:0.416790:0.773630:0.416790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente,:@0.427973:0.450639:0.495632:0.450639:0.495632:0.434141:0.427973:0.434141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  > 2      >  ,     ,      .:@0.555451:0.467989:0.770473:0.467989:0.770473:0.451492:0.555451:0.451492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.563945:0.461705:0.568303:0.461705:0.568303:0.452104:0.563945:0.452104:0.000000
1:@0.568303:0.464150:0.573256:0.464150:0.573256:0.454532:0.568303:0.454532:0.000000
x:@0.600842:0.461705:0.605200:0.461705:0.605200:0.452104:0.600842:0.452104:0.000000
2:@0.605200:0.464150:0.610153:0.464150:0.610153:0.454532:0.605200:0.454532:0.000000
⇔:@0.614296:0.467068:0.631752:0.467068:0.631752:0.451667:0.614296:0.451667:0.000000
x:@0.635894:0.468105:0.643369:0.468105:0.643369:0.451636:0.635894:0.451636:0.000000
1:@0.643368:0.471267:0.648321:0.471267:0.648321:0.461649:0.643368:0.461649:0.000000
x:@0.667414:0.468105:0.674889:0.468105:0.674889:0.451636:0.667414:0.451636:0.000000
2:@0.674888:0.471267:0.679841:0.471267:0.679841:0.461649:0.674888:0.461649:0.000000
x x:@0.699726:0.468105:0.726524:0.468105:0.726524:0.451636:0.699726:0.451636:0.000000:0.000000:0.000000
1:@0.707200:0.471267:0.712153:0.471267:0.712153:0.461649:0.707200:0.461649:0.000000
2:@0.726524:0.471267:0.731477:0.471267:0.731477:0.461649:0.726524:0.461649:0.000000
:@0.735619:0.467471:0.750271:0.467471:0.750271:0.454098:0.735619:0.454098:0.000000
:@0.754413:0.466902:0.767718:0.466902:0.767718:0.454040:0.754413:0.454040:0.000000
 :@0.404240:0.498165:0.408382:0.498165:0.408382:0.481668:0.404240:0.481668:0.000000
Como las bases son iguales, entonces: 5  – 1 > –3  + 15. Resolve-:@0.427975:0.498165:0.898022:0.498165:0.898022:0.481668:0.427975:0.481668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.710805:0.498281:0.718279:0.498281:0.718279:0.481812:0.710805:0.481812:0.000000
x:@0.786267:0.498281:0.793741:0.498281:0.793741:0.481812:0.786267:0.481812:0.000000
mos la inecuación::@0.427975:0.515516:0.559208:0.515516:0.559208:0.499018:0.427975:0.499018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  – 1 > –3  + 15   8  > 16     > 2.:@0.517963:0.532867:0.784212:0.532866:0.784212:0.516368:0.517963:0.516369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.526459:0.532982:0.533934:0.532982:0.533934:0.516514:0.526459:0.516514:0.000000
x:@0.599301:0.532982:0.606776:0.532982:0.606776:0.516514:0.599301:0.516514:0.000000
⇔:@0.647004:0.531945:0.664460:0.531945:0.664460:0.516543:0.647004:0.516543:0.000000
x:@0.677098:0.532982:0.684572:0.532982:0.684572:0.516513:0.677098:0.516513:0.000000
⇔:@0.724797:0.531945:0.742253:0.531945:0.742253:0.516543:0.724797:0.516543:0.000000
x:@0.746395:0.532982:0.753870:0.532982:0.753870:0.516513:0.746395:0.516513:0.000000
 :@0.404244:0.562290:0.408386:0.562290:0.408386:0.545792:0.404244:0.545792:0.000000
Luego, el conjunto solución se expresa como::@0.427979:0.562290:0.749088:0.562290:0.749088:0.545792:0.427979:0.545792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.528062:0.586885:0.535941:0.586885:0.535941:0.570416:0.528062:0.570416:0.000000
 = {      | 2:@0.535941:0.586769:0.626389:0.586765:0.626389:0.570268:0.535941:0.570271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.560890:0.586885:0.568364:0.586885:0.568364:0.570416:0.560890:0.570416:0.000000
:@0.572501:0.586247:0.587153:0.586247:0.587153:0.572873:0.572501:0.572873:0.000000
:@0.591295:0.585678:0.604600:0.585678:0.604600:0.572816:0.591295:0.572816:0.000000
5 –1:@0.626388:0.580414:0.646774:0.580414:0.646774:0.570796:0.626388:0.570796:0.000000:0.000000:0.000000:0.000000
x:@0.631341:0.580481:0.635699:0.580481:0.635699:0.570880:0.631341:0.570880:0.000000
 > 2:@0.646774:0.586765:0.674362:0.586765:0.674362:0.570268:0.646774:0.570268:0.000000:0.000000:0.000000:0.000000
–3 +15:@0.674362:0.580414:0.706001:0.580414:0.706001:0.570796:0.674362:0.570796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.685436:0.580481:0.689794:0.580481:0.689794:0.570880:0.685436:0.570880:0.000000
} = ]2, ∞[.:@0.706000:0.586765:0.774122:0.586765:0.774122:0.570268:0.706000:0.570268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.404229:0.617158:0.416501:0.617158:0.416501:0.600444:0.404229:0.600444:0.000000:0.000000
  Sea la inecuación 3  –      × 3  + 1 > 0. ¿Cuál es el conjunto :@0.416501:0.616941:0.846795:0.616941:0.846795:0.600443:0.416501:0.600444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.562488:0.610589:0.567441:0.610589:0.567441:0.600971:0.562488:0.600971:0.000000
x:@0.567441:0.610656:0.571799:0.610656:0.571799:0.601055:0.567441:0.601055:0.000000
x:@0.634737:0.610656:0.639095:0.610656:0.639095:0.601055:0.634737:0.601055:0.000000
solución?:@0.427986:0.634291:0.494145:0.634291:0.494145:0.617794:0.427986:0.617794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404251:0.664467:0.408393:0.664467:0.408393:0.647970:0.404251:0.647970:0.000000
Tenemos 3  = (3 ) . Luego, 3  –      × 3  + 1 > 0 :@0.427986:0.664467:0.764831:0.664467:0.764831:0.647969:0.427986:0.647970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.505290:0.658115:0.510243:0.658115:0.510243:0.648497:0.505290:0.648497:0.000000
x:@0.510243:0.658182:0.514601:0.658182:0.514601:0.648581:0.510243:0.648581:0.000000
x:@0.548141:0.658182:0.552499:0.658182:0.552499:0.648581:0.548141:0.648581:0.000000
2:@0.558452:0.656858:0.563405:0.656858:0.563405:0.647239:0.558452:0.647239:0.000000
2:@0.628906:0.658115:0.633859:0.658115:0.633859:0.648497:0.628906:0.648497:0.000000
x:@0.633859:0.658182:0.638217:0.658182:0.638217:0.648581:0.633859:0.648581:0.000000
x:@0.701154:0.658182:0.705512:0.658182:0.705512:0.648581:0.701154:0.648581:0.000000
⇔:@0.764828:0.663546:0.782284:0.663546:0.782284:0.648144:0.764828:0.648144:0.000000
2(3 )  – 5 × 3  + 2 > 0.:@0.427971:0.681817:0.583342:0.681817:0.583342:0.665320:0.427971:0.665320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.450923:0.675533:0.455281:0.675533:0.455281:0.665932:0.450923:0.665932:0.000000
2:@0.461235:0.674208:0.466188:0.674208:0.466188:0.664590:0.461235:0.664590:0.000000
x:@0.521054:0.675533:0.525412:0.675533:0.525412:0.665932:0.521054:0.665932:0.000000
Ponemos  = 3 . La última desigualdad se transforma en la siguiente::@0.427968:0.711241:0.895375:0.711238:0.895375:0.694741:0.427968:0.694744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.497053:0.711357:0.504836:0.711357:0.504836:0.694888:0.497053:0.694888:0.000000
x:@0.531471:0.704954:0.535828:0.704954:0.535828:0.695353:0.531471:0.695353:0.000000
2  – 5  + 2 > 0.:@0.593974:0.735717:0.708203:0.735718:0.708203:0.719220:0.593974:0.719220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.602470:0.735833:0.610253:0.735833:0.610253:0.719364:0.602470:0.719364:0.000000
2:@0.610255:0.729365:0.615209:0.729365:0.615209:0.719747:0.610255:0.719747:0.000000
v:@0.642489:0.735834:0.650272:0.735834:0.650272:0.719365:0.642489:0.719365:0.000000
Sea  la función polinomial definida como  ( ) = 2  – 5  + 2:@0.427970:0.764390:0.864488:0.764384:0.864488:0.747887:0.427970:0.747892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.456232:0.764506:0.465017:0.764506:0.465017:0.748037:0.456232:0.748037:0.000000
P v:@0.733032:0.764506:0.755553:0.764506:0.755553:0.748037:0.733032:0.748037:0.000000:0.000000:0.000000
v:@0.789094:0.764506:0.796877:0.764506:0.796877:0.748037:0.789094:0.748037:0.000000
2:@0.796884:0.758031:0.801837:0.758031:0.801837:0.748413:0.796884:0.748413:0.000000
v:@0.829117:0.764500:0.836900:0.764500:0.836900:0.748031:0.829117:0.748031:0.000000
 :@0.404241:0.781735:0.408383:0.781735:0.408383:0.765237:0.404241:0.765237:0.000000
v:@0.427976:0.781851:0.435759:0.781851:0.435759:0.765382:0.427976:0.765382:0.000000
    . Determinemos las raíces de la ecuación  ( ) = 0. Tenemos::@0.435759:0.781735:0.892791:0.781735:0.892791:0.765237:0.435759:0.765237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.439905:0.781216:0.454558:0.781216:0.454558:0.767843:0.439905:0.767843:0.000000
:@0.458698:0.780648:0.472003:0.780648:0.472003:0.767786:0.458698:0.767786:0.000000
P v:@0.762116:0.781851:0.784638:0.781851:0.784638:0.765382:0.762116:0.765382:0.000000:0.000000:0.000000
2  – 5  + 2 > 0     –        + 1 = 0:@0.536754:0.806214:0.789161:0.806213:0.789161:0.789716:0.536754:0.789716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.545249:0.806330:0.553033:0.806330:0.553033:0.789861:0.545249:0.789861:0.000000
2:@0.553041:0.799862:0.557994:0.799862:0.557994:0.790244:0.553041:0.790244:0.000000
v:@0.585274:0.806329:0.593057:0.806329:0.593057:0.789860:0.585274:0.789860:0.000000
⇔:@0.652374:0.805292:0.669830:0.805292:0.669830:0.789891:0.652374:0.789891:0.000000
v:@0.673972:0.806329:0.681756:0.806329:0.681756:0.789860:0.673972:0.789860:0.000000
2:@0.681755:0.799862:0.686708:0.799862:0.686708:0.790244:0.681755:0.790244:0.000000
v:@0.726202:0.806329:0.733985:0.806329:0.733985:0.789860:0.726202:0.789860:0.000000
v:@0.550098:0.855287:0.557882:0.855287:0.557882:0.838818:0.550098:0.838818:0.000000
 =                          =              .:@0.557882:0.855171:0.752075:0.855171:0.752075:0.838674:0.557882:0.838674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404241:0.888369:0.408383:0.888369:0.408383:0.871872:0.404241:0.871872:0.000000
Las raíces de  ( ) = 0 son   =       y    = 2. El polinomio  ( ) se :@0.427976:0.888369:0.876934:0.888364:0.876934:0.871867:0.427976:0.871872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P v:@0.520447:0.888485:0.542968:0.888485:0.542968:0.872016:0.520447:0.872016:0.000000:0.000000:0.000000
v:@0.610493:0.888485:0.618276:0.888485:0.618276:0.872016:0.610493:0.872016:0.000000
1:@0.618278:0.891641:0.623231:0.891641:0.623231:0.882023:0.618278:0.882023:0.000000
v:@0.683280:0.888480:0.691063:0.888480:0.691063:0.872011:0.683280:0.872011:0.000000
2:@0.691062:0.891641:0.696016:0.891641:0.696016:0.882023:0.691062:0.882023:0.000000
P v:@0.825612:0.888480:0.848132:0.888480:0.848132:0.872011:0.825612:0.872011:0.000000:0.000000:0.000000
escribe como::@0.427979:0.905715:0.526576:0.905715:0.526576:0.889217:0.427979:0.889217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404244:0.928416:0.408386:0.928416:0.408386:0.911918:0.404244:0.911918:0.000000
P v:@0.433989:0.928531:0.456510:0.928531:0.456510:0.912062:0.433989:0.912062:0.000000:0.000000:0.000000
( ) = 2  – 5  + 2 = 2    –        + 1   = 2    –      (  – 2),         .:@0.442774:0.928416:0.891948:0.928411:0.891948:0.911914:0.442774:0.911918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.490051:0.928531:0.497834:0.928531:0.497834:0.912062:0.490051:0.912062:0.000000
2:@0.497818:0.922059:0.502772:0.922059:0.502772:0.912441:0.497818:0.912441:0.000000
v:@0.530050:0.928527:0.537833:0.928527:0.537833:0.912058:0.530050:0.912058:0.000000
v:@0.601293:0.928527:0.609076:0.928527:0.609076:0.912058:0.601293:0.912058:0.000000
2:@0.609074:0.922059:0.614028:0.922059:0.614028:0.912441:0.609074:0.912441:0.000000
v:@0.652077:0.928527:0.659860:0.928527:0.659860:0.912058:0.652077:0.912058:0.000000
v:@0.731604:0.928527:0.739387:0.928527:0.739387:0.912058:0.731604:0.912058:0.000000
v:@0.784834:0.928527:0.792617:0.928527:0.792617:0.912058:0.784834:0.912058:0.000000
v:@0.845173:0.928527:0.852956:0.928527:0.852956:0.912058:0.845173:0.912058:0.000000
:@0.857094:0.927893:0.871746:0.927893:0.871746:0.914520:0.857094:0.914520:0.000000
:@0.875888:0.927324:0.889193:0.927324:0.889193:0.914462:0.875888:0.914462:0.000000
5:@0.594974:0.609648:0.603470:0.609648:0.603470:0.593151:0.594974:0.593151:0.000000
2:@0.594974:0.625987:0.603470:0.625987:0.603470:0.609489:0.594974:0.609489:0.000000
5:@0.660769:0.657545:0.669265:0.657545:0.669265:0.641047:0.660769:0.641047:0.000000
2:@0.660769:0.673884:0.669265:0.673884:0.669265:0.657386:0.660769:0.657386:0.000000
5:@0.708217:0.798353:0.716713:0.798353:0.716713:0.781855:0.708217:0.781855:0.000000
2:@0.708217:0.814691:0.716713:0.814691:0.716713:0.798194:0.708217:0.798194:0.000000
2:@0.713941:0.864098:0.722437:0.864098:0.722437:0.847601:0.713941:0.847601:0.000000
2:@0.618519:0.864098:0.627015:0.864098:0.627015:0.847601:0.618519:0.847601:0.000000
5:@0.698298:0.832329:0.706794:0.832329:0.706794:0.815831:0.698298:0.815831:0.000000
2:@0.698298:0.848667:0.706794:0.848667:0.706794:0.832170:0.698298:0.832170:0.000000
1:@0.645811:0.880859:0.654307:0.880859:0.654307:0.864362:0.645811:0.864362:0.000000
2:@0.645811:0.897198:0.654307:0.897198:0.654307:0.880700:0.645811:0.880700:0.000000
25:@0.621997:0.832329:0.639182:0.832329:0.639182:0.815831:0.621997:0.815831:0.000000:0.000000
4:@0.626332:0.848667:0.634828:0.848667:0.634828:0.832170:0.626332:0.832170:0.000000
5:@0.580108:0.832329:0.588604:0.832329:0.588604:0.815831:0.580108:0.815831:0.000000
2:@0.580108:0.848667:0.588604:0.848667:0.588604:0.832170:0.580108:0.832170:0.000000
3:@0.729586:0.832329:0.738082:0.832329:0.738082:0.815831:0.729586:0.815831:0.000000
2:@0.729586:0.848667:0.738082:0.848667:0.738082:0.832170:0.729586:0.832170:0.000000
±:@0.712787:0.839587:0.723595:0.839587:0.723595:0.823090:0.712787:0.823090:0.000000
±         – 4:@0.594595:0.839587:0.665818:0.839587:0.665818:0.823090:0.594595:0.823090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.634329:0.920880:0.642825:0.920880:0.642825:0.904382:0.634329:0.904382:0.000000
2:@0.634329:0.937218:0.642825:0.937218:0.642825:0.920721:0.634329:0.920721:0.000000
 :@0.642921:0.944299:0.646791:0.944299:0.646791:0.926163:0.642921:0.926163:0.000000
1:@0.757571:0.920880:0.766067:0.920880:0.766067:0.904382:0.757571:0.904382:0.000000
2:@0.757571:0.937218:0.766067:0.937218:0.766067:0.920721:0.757571:0.920721:0.000000
 :@0.766163:0.944299:0.770033:0.944299:0.770033:0.926163:0.766163:0.926163:0.000000