﻿61:@0.942817:0.963886:0.964167:0.963886:0.964167:0.945448:0.942817:0.945448:0.000000:0.000000
 :@0.096359:0.854025:0.100395:0.854025:0.100395:0.838356:0.096359:0.838356:0.000000
2:@0.104478:0.714085:0.113471:0.714085:0.113471:0.698416:0.104478:0.698416:0.000000
3:@0.104681:0.733420:0.113674:0.733420:0.113674:0.717750:0.104681:0.717750:0.000000
x:@0.114896:0.722532:0.122802:0.722532:0.128021:0.706862:0.120116:0.706862:0.000000
2:@0.140078:0.722533:0.149070:0.722533:0.149070:0.706863:0.140078:0.706863:0.000000
x:@0.157667:0.714084:0.165572:0.714084:0.170792:0.698414:0.162887:0.698414:0.000000
8:@0.182848:0.714085:0.191841:0.714085:0.191841:0.698416:0.182848:0.698416:0.000000
y:@0.191957:0.714084:0.200066:0.714084:0.205285:0.698414:0.197177:0.698414:0.000000
4:@0.176933:0.733416:0.185926:0.733416:0.185926:0.717747:0.176933:0.717747:0.000000
<:@0.215515:0.723211:0.225632:0.723211:0.225632:0.707638:0.215515:0.707638:0.000000
3:@0.228083:0.722533:0.237076:0.722533:0.237076:0.706863:0.228083:0.706863:0.000000
y:@0.236403:0.722532:0.244511:0.722532:0.249731:0.706862:0.241623:0.706862:0.000000
5:@0.262370:0.722533:0.271363:0.722533:0.271363:0.706863:0.262370:0.706863:0.000000
2:@0.104482:0.753140:0.113475:0.753140:0.113475:0.737470:0.104482:0.737470:0.000000
3:@0.104685:0.772474:0.113678:0.772474:0.113678:0.756805:0.104685:0.756805:0.000000
x:@0.114896:0.761587:0.122802:0.761587:0.128021:0.745918:0.120116:0.745918:0.000000
x:@0.140759:0.753140:0.148664:0.753140:0.153884:0.737470:0.145978:0.737470:0.000000
8:@0.165938:0.753140:0.174931:0.753140:0.174931:0.737470:0.165938:0.737470:0.000000
y:@0.175047:0.753140:0.183156:0.753140:0.188375:0.737470:0.180267:0.737470:0.000000
2:@0.160023:0.772471:0.169016:0.772471:0.169016:0.756801:0.160023:0.756801:0.000000
<:@0.191382:0.762265:0.201499:0.762265:0.201499:0.746692:0.191382:0.746692:0.000000
3:@0.203950:0.761587:0.212942:0.761587:0.212942:0.745918:0.203950:0.745918:0.000000
y:@0.212270:0.761587:0.220378:0.761587:0.225597:0.745918:0.217489:0.745918:0.000000
5:@0.238235:0.761587:0.247228:0.761587:0.247228:0.745918:0.238235:0.745918:0.000000
4:@0.105206:0.789760:0.114199:0.789760:0.114199:0.774090:0.105206:0.774090:0.000000
x:@0.113954:0.789759:0.121859:0.789759:0.127079:0.774089:0.119174:0.774089:0.000000
3:@0.139135:0.789759:0.148127:0.789759:0.148127:0.774089:0.139135:0.774089:0.000000
x:@0.146726:0.789759:0.154631:0.789759:0.159851:0.774089:0.151946:0.774089:0.000000
+:@0.159656:0.790436:0.169773:0.790436:0.169773:0.774863:0.159656:0.774863:0.000000
24:@0.171487:0.789759:0.189269:0.789759:0.189269:0.774089:0.171487:0.774089:0.000000:0.000000
y:@0.189758:0.789759:0.197866:0.789759:0.203086:0.774089:0.194977:0.774089:0.000000
6:@0.148819:0.809090:0.157812:0.809090:0.157812:0.793420:0.148819:0.793420:0.000000
<:@0.206092:0.798884:0.216209:0.798884:0.216209:0.783311:0.206092:0.783311:0.000000
3:@0.218660:0.798206:0.227653:0.798206:0.227653:0.782537:0.218660:0.782537:0.000000
y:@0.226980:0.798206:0.235088:0.798206:0.240308:0.782537:0.232199:0.782537:0.000000
5:@0.252947:0.798206:0.261940:0.798206:0.261940:0.782537:0.252947:0.782537:0.000000
x:@0.102227:0.826377:0.110133:0.826377:0.115352:0.810708:0.107447:0.810708:0.000000
+:@0.115158:0.827055:0.125275:0.827055:0.125275:0.811482:0.115158:0.811482:0.000000
24:@0.126988:0.826377:0.144771:0.826377:0.144771:0.810708:0.126988:0.810708:0.000000:0.000000
y:@0.145260:0.826377:0.153368:0.826377:0.158588:0.810708:0.150480:0.810708:0.000000
<:@0.160127:0.827055:0.170244:0.827055:0.170244:0.811482:0.160127:0.811482:0.000000
18:@0.171534:0.826377:0.189316:0.826377:0.189316:0.810708:0.171534:0.810708:0.000000:0.000000
y:@0.189444:0.826377:0.197553:0.826377:0.202772:0.810708:0.194664:0.810708:0.000000
30:@0.215410:0.826377:0.233193:0.826377:0.233193:0.810708:0.215410:0.810708:0.000000:0.000000
x:@0.102227:0.847123:0.110133:0.847123:0.115352:0.831453:0.107447:0.831453:0.000000
+:@0.115158:0.847801:0.125275:0.847801:0.125275:0.832228:0.115158:0.832228:0.000000
6:@0.127357:0.847123:0.136350:0.847123:0.136350:0.831453:0.127357:0.831453:0.000000
y:@0.136465:0.847123:0.144573:0.847123:0.149793:0.831453:0.141685:0.831453:0.000000
<:@0.151332:0.847801:0.161449:0.847801:0.161449:0.832228:0.151332:0.832228:0.000000
30:@0.173844:0.847123:0.191626:0.847123:0.191626:0.831453:0.173844:0.831453:0.000000:0.000000
Cambio el signo de la :@0.096359:0.877751:0.258613:0.877751:0.258613:0.862081:0.096359:0.862081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuación por “=”::@0.096359:0.894347:0.233995:0.894347:0.233995:0.878677:0.096359:0.878677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.096359:0.918066:0.103822:0.918066:0.103822:0.901705:0.096359:0.901705:0.000000
 + 6  = –30:@0.103822:0.918066:0.185604:0.918066:0.185604:0.902396:0.103822:0.902396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.131869:0.918066:0.139351:0.918066:0.139351:0.901705:0.131869:0.901705:0.000000
Graficamos la recta con :@0.302509:0.711372:0.478049:0.711372:0.478049:0.695702:0.302509:0.695702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una línea punteada.:@0.302509:0.727968:0.447864:0.727968:0.447864:0.712299:0.302509:0.712299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.369493:0.752464:0.374398:0.752464:0.374398:0.743917:0.369493:0.743917:0.000000
y:@0.386822:0.741956:0.391245:0.741956:0.391245:0.733409:0.386822:0.733409:0.000000
x:@0.487115:0.782557:0.491427:0.782557:0.491427:0.774010:0.487115:0.774010:0.000000
5:@0.415408:0.782557:0.420313:0.782557:0.420313:0.774010:0.415408:0.774010:0.000000
–5:@0.335369:0.782557:0.345300:0.782557:0.345300:0.774010:0.335369:0.774010:0.000000:0.000000
–5:@0.364528:0.811510:0.374459:0.811510:0.374459:0.802963:0.364528:0.802963:0.000000:0.000000
10:@0.451202:0.782557:0.461012:0.782557:0.461012:0.774010:0.451202:0.774010:0.000000:0.000000
–10:@0.296821:0.782557:0.311657:0.782557:0.311657:0.774010:0.296821:0.774010:0.000000:0.000000:0.000000
–10:@0.359623:0.847102:0.374459:0.847102:0.374459:0.838554:0.359623:0.838554:0.000000:0.000000:0.000000
0:@0.369493:0.769808:0.374398:0.769808:0.374398:0.761261:0.369493:0.761261:0.000000
0:@0.382108:0.782557:0.387013:0.782557:0.387013:0.774010:0.382108:0.774010:0.000000
La solución de la :@0.302506:0.892217:0.428624:0.892217:0.428624:0.876548:0.302506:0.876548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuación es la parte :@0.302506:0.908814:0.466489:0.908814:0.466489:0.893144:0.302506:0.893144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sombreada.:@0.302506:0.925410:0.388581:0.925410:0.388581:0.909740:0.302506:0.909740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos la :@0.508652:0.710121:0.615901:0.710121:0.615901:0.695876:0.508652:0.695876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
región:@0.615901:0.710121:0.661283:0.710121:0.661283:0.695008:0.615901:0.695008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.661283:0.710121:0.664952:0.710121:0.664952:0.695876:0.661283:0.695876:0.000000
solución, tomando los :@0.508652:0.725209:0.660075:0.725209:0.660075:0.710963:0.508652:0.710963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos::@0.508652:0.740296:0.558926:0.740296:0.558926:0.726051:0.508652:0.726051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P (0, 1) :@0.508652:0.765133:0.560968:0.765133:0.560968:0.749463:0.508652:0.749463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 + 6(1) < –30:@0.508652:0.786086:0.610704:0.786086:0.610704:0.770416:0.508652:0.770416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6 < – 30, falso:@0.508652:0.807039:0.608954:0.807039:0.608954:0.791369:0.508652:0.791369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No satisface.:@0.508652:0.827992:0.599277:0.827992:0.599277:0.812322:0.508652:0.812322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P(1, –10):@0.508652:0.848945:0.571103:0.848945:0.571103:0.833275:0.508652:0.833275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 + 6(–10) < –30:@0.508652:0.869898:0.628911:0.869898:0.628911:0.854228:0.508652:0.854228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 – 60 < –30:@0.508652:0.890851:0.599169:0.890851:0.599169:0.875181:0.508652:0.875181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   – 59 < –30:@0.508652:0.911803:0.598247:0.911803:0.598247:0.896134:0.508652:0.896134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Satisface la inecuación.:@0.508652:0.932756:0.676675:0.932756:0.676675:0.917087:0.508652:0.917087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.096359:0.278595:0.160353:0.278595:0.160353:0.263483:0.096359:0.263483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.096359:0.302634:0.115598:0.302634:0.115598:0.285498:0.096359:0.285498:0.000000:0.000000:0.000000
Encontrar el conjunto solución de la inecuación: 2:@0.124848:0.302634:0.493076:0.302634:0.493076:0.286964:0.124848:0.286964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.505349:0.303311:0.515465:0.303311:0.515465:0.287738:0.505349:0.287738:0.000000
≥:@0.540748:0.303311:0.550865:0.303311:0.550865:0.287738:0.540748:0.287738:0.000000
x:@0.494347:0.302634:0.501811:0.302634:0.501811:0.286272:0.494347:0.286272:0.000000
y:@0.529212:0.302634:0.536694:0.302634:0.536694:0.286272:0.529212:0.286272:0.000000
4:@0.518211:0.302634:0.527204:0.302634:0.527204:0.286964:0.518211:0.286964:0.000000
8 .:@0.553389:0.302634:0.568445:0.302634:0.568445:0.286964:0.553389:0.286964:0.000000:0.000000:0.000000
Solución:@0.096359:0.320971:0.157020:0.320971:0.157020:0.305859:0.096359:0.305859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cambiamos el signo de la desigualdad por “=” y graficamos.:@0.096359:0.345010:0.531097:0.345010:0.531097:0.329340:0.096359:0.329340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.111960:0.370417:0.122077:0.370417:0.122077:0.354844:0.111960:0.354844:0.000000
−:@0.147341:0.361898:0.157458:0.361898:0.157458:0.346325:0.147341:0.346325:0.000000
y:@0.100443:0.369740:0.107924:0.369740:0.107924:0.353378:0.100443:0.353378:0.000000
x:@0.136358:0.361220:0.143821:0.361220:0.143821:0.344859:0.136358:0.344859:0.000000
2:@0.126094:0.361214:0.135087:0.361214:0.135087:0.345544:0.126094:0.345544:0.000000
8:@0.159504:0.361214:0.168496:0.361214:0.168496:0.345544:0.159504:0.345544:0.000000
4:@0.142956:0.380659:0.151948:0.380659:0.151948:0.364989:0.142956:0.364989:0.000000
 :@0.173420:0.383570:0.177456:0.383570:0.177456:0.367900:0.173420:0.367900:0.000000
Como la inecuación tiene el símbolo ≥, :@0.096356:0.407289:0.409367:0.407289:0.409367:0.391619:0.096356:0.391619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representamos la recta con una línea :@0.096356:0.423885:0.409367:0.423885:0.409367:0.408215:0.096356:0.408215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continua para indicar que los puntos de la :@0.096356:0.440482:0.409349:0.440482:0.409349:0.424812:0.096356:0.424812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta pertenecen a la solución.:@0.096356:0.457078:0.320508:0.457078:0.320508:0.441408:0.096356:0.441408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   = 4,   = 0; (4, 0), sí pertenece a la recta:@0.096356:0.480797:0.400224:0.480797:0.400224:0.465127:0.096356:0.465127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.112793:0.480797:0.120256:0.480797:0.120256:0.464436:0.112793:0.464436:0.000000
y:@0.155545:0.480797:0.163027:0.480797:0.163027:0.464436:0.155545:0.464436:0.000000
Si   = 0,   = –2; (0, –2), sí pertenece:@0.096356:0.504516:0.349255:0.504516:0.349255:0.488846:0.096356:0.488846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.112793:0.504516:0.120256:0.504516:0.120256:0.488155:0.112793:0.488155:0.000000
y:@0.155545:0.504516:0.163027:0.504516:0.163027:0.488155:0.155545:0.488155:0.000000
Tomamos un punto sobre o bajo la recta.:@0.096356:0.528235:0.397109:0.528235:0.397109:0.512565:0.096356:0.512565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P (5, 2); 2  – 4  ≥ 8:@0.096356:0.551954:0.230140:0.551954:0.230140:0.536284:0.096356:0.536284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.160871:0.551954:0.168334:0.551954:0.168334:0.535593:0.160871:0.535593:0.000000
y:@0.194612:0.551954:0.202093:0.551954:0.202093:0.535593:0.194612:0.535593:0.000000
2(5) – 4(2) ≥ 8:@0.096356:0.575673:0.197192:0.575673:0.197192:0.560003:0.096356:0.560003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 ≥ 8, falso:@0.096356:0.599392:0.174415:0.599392:0.174415:0.583722:0.096356:0.583722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No satisface la inecuación.:@0.096356:0.623111:0.288298:0.623111:0.288298:0.607441:0.096356:0.607441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.096356:0.670466:0.116737:0.670466:0.116737:0.653330:0.096356:0.653330:0.000000:0.000000:0.000000
Hallar el conjunto solución de la inecuación: :@0.124845:0.670466:0.451769:0.670466:0.451769:0.654796:0.124845:0.654796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.455410:0.661617:0.464402:0.661617:0.464402:0.645947:0.455410:0.645947:0.000000
3:@0.455612:0.680952:0.464605:0.680952:0.464605:0.665282:0.455612:0.665282:0.000000
x:@0.465829:0.670063:0.473734:0.670063:0.478954:0.654394:0.471048:0.654394:0.000000
2:@0.491009:0.670065:0.500001:0.670065:0.500001:0.654395:0.491009:0.654395:0.000000
1:@0.510910:0.661614:0.519903:0.661614:0.519903:0.645945:0.510910:0.645945:0.000000
4:@0.510118:0.680949:0.519111:0.680949:0.519111:0.665279:0.510118:0.665279:0.000000
x:@0.521268:0.670063:0.529173:0.670063:0.534393:0.654394:0.526487:0.654394:0.000000
2:@0.546449:0.670065:0.555442:0.670065:0.555442:0.654395:0.546449:0.654395:0.000000
y:@0.555191:0.670063:0.563299:0.670063:0.568519:0.654394:0.560411:0.654394:0.000000
<:@0.577283:0.670742:0.587400:0.670742:0.587400:0.655169:0.577283:0.655169:0.000000
3:@0.589851:0.670065:0.598844:0.670065:0.598844:0.654395:0.589851:0.654395:0.000000
y:@0.598173:0.670063:0.606281:0.670063:0.611501:0.654394:0.603392:0.654394:0.000000
5. :@0.624138:0.670065:0.641155:0.670516:0.641155:0.654846:0.624138:0.654395:0.000000:0.000000:0.000000
Solución:@0.096359:0.690111:0.157020:0.690111:0.157020:0.674998:0.096359:0.674998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la inecuación presenta los signos  “≥, ≤”, se representa con una :@0.110882:0.145520:0.633735:0.145520:0.633735:0.129850:0.110882:0.129850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta :@0.638453:0.145520:0.682548:0.145520:0.682548:0.128619:0.638453:0.128619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continua:@0.107528:0.162116:0.175619:0.162116:0.175619:0.145492:0.107528:0.145492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Esto quiere decir que los puntos de la recta también :@0.175619:0.162116:0.565767:0.162116:0.565767:0.146447:0.175619:0.146447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son soluciones:@0.565490:0.162116:0.682082:0.162116:0.682082:0.145216:0.565490:0.145216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.682082:0.162116:0.686118:0.162116:0.686118:0.146447:0.682082:0.146447:0.000000
de la inecuación.:@0.107528:0.178713:0.230828:0.178713:0.230828:0.163043:0.107528:0.163043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la inecuación presenta los signos  “>, <”, se representa con una :@0.107528:0.202432:0.637876:0.202432:0.637876:0.186762:0.107528:0.186762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
línea :@0.643275:0.202432:0.685954:0.202432:0.685954:0.185531:0.643275:0.185531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punteada:@0.107528:0.219028:0.184538:0.219028:0.184538:0.202127:0.107528:0.202127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Esto quiere decir que los puntos de la recta :@0.184538:0.219028:0.523365:0.219028:0.523365:0.203358:0.184538:0.203358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no forman parte de :@0.524691:0.219028:0.686007:0.219028:0.686007:0.202127:0.524691:0.202127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las soluciones:@0.107528:0.235624:0.217541:0.235624:0.217541:0.218724:0.107528:0.218724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de la inecuación.:@0.217541:0.235624:0.344876:0.235624:0.344876:0.219955:0.217541:0.219955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continua.:@0.733044:0.604104:0.798412:0.604104:0.798412:0.588991:0.733044:0.588991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Línea que no :@0.798412:0.604104:0.892795:0.604104:0.892795:0.589859:0.798412:0.589859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene interrupciones.:@0.733044:0.619192:0.870412:0.619192:0.870412:0.604947:0.733044:0.604947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
región.:@0.733044:0.641408:0.781894:0.641408:0.781894:0.626296:0.733044:0.626296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Espacio limitado :@0.781894:0.641408:0.897804:0.641408:0.897804:0.627163:0.781894:0.627163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que cumple una :@0.733044:0.656496:0.846642:0.656496:0.846642:0.642251:0.733044:0.642251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinada condición :@0.733044:0.671584:0.893245:0.671584:0.893245:0.657338:0.733044:0.657338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o circunstancia.:@0.733044:0.686671:0.836205:0.686671:0.836205:0.672426:0.733044:0.672426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.765616:0.579593:0.831789:0.579593:0.831789:0.562692:0.765616:0.562692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P (2, –3); 2  – 4  ≥ 8:@0.382470:0.552351:0.525468:0.552351:0.525468:0.536681:0.382470:0.536681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.456199:0.552351:0.463662:0.552351:0.463662:0.535990:0.456199:0.535990:0.000000
y:@0.489940:0.552351:0.497421:0.552351:0.497421:0.535990:0.489940:0.535990:0.000000
2(2) – 4(–3) ≥ 8:@0.382470:0.576070:0.492520:0.576070:0.492520:0.560400:0.382470:0.560400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16 ≥ 8, verdadero:@0.382470:0.599789:0.510503:0.599789:0.510503:0.584119:0.382470:0.584119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Satisface la inecuación, la solución es la parte :@0.382470:0.623524:0.704590:0.623524:0.704590:0.607855:0.382470:0.607855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sombreada. :@0.382470:0.640121:0.465051:0.640121:0.465051:0.624451:0.382470:0.624451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo Editorial:@0.711562:0.500000:0.711562:0.453755:0.700094:0.453755:0.700094:0.500000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo Editorial:@0.084905:0.861710:0.084905:0.812804:0.073517:0.812804:0.073517:0.861710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Refuerza:@0.734627:0.795866:0.795488:0.795866:0.795488:0.780754:0.734627:0.780754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lo aprendido. :@0.795488:0.795866:0.890927:0.795866:0.890927:0.781621:0.795488:0.781621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mira :@0.734627:0.810954:0.769237:0.810954:0.769237:0.795841:0.734627:0.795841:0.000000:0.000000:0.000000:0.000000:0.000000
el video del link:@0.769237:0.810954:0.873052:0.810954:0.873052:0.796709:0.769237:0.796709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10m07:@0.734627:0.833171:0.832779:0.833171:0.832779:0.818045:0.734627:0.818045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.751111:0.770918:0.902013:0.770918:0.902013:0.754017:0.751111:0.754017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.429085:0.401962:0.439016:0.401962:0.439016:0.393415:0.429085:0.393415:0.000000:0.000000
–1:@0.458767:0.401962:0.468698:0.401962:0.468698:0.393415:0.458767:0.393415:0.000000:0.000000
–1:@0.479644:0.424465:0.489575:0.424465:0.489575:0.415918:0.479644:0.415918:0.000000:0.000000
–2:@0.479644:0.453433:0.489575:0.453433:0.489575:0.444886:0.479644:0.444886:0.000000:0.000000
–3:@0.479644:0.480877:0.489575:0.480877:0.489575:0.472330:0.479644:0.472330:0.000000:0.000000
1:@0.520644:0.401962:0.525549:0.401962:0.525549:0.393415:0.520644:0.393415:0.000000
1:@0.482910:0.366521:0.487816:0.366521:0.487816:0.357974:0.482910:0.357974:0.000000
y:@0.501144:0.356012:0.505566:0.356012:0.505566:0.347465:0.501144:0.347465:0.000000
x:@0.686985:0.401426:0.691297:0.401426:0.691297:0.392879:0.686985:0.392879:0.000000
2:@0.550325:0.401962:0.555231:0.401962:0.555231:0.393415:0.550325:0.393415:0.000000
3:@0.580007:0.401962:0.584912:0.401962:0.584912:0.393415:0.580007:0.393415:0.000000
4:@0.609689:0.401962:0.614594:0.401962:0.614594:0.393415:0.609689:0.393415:0.000000
5:@0.639813:0.401962:0.644719:0.401962:0.644719:0.393415:0.639813:0.393415:0.000000
6:@0.669495:0.401962:0.674400:0.401962:0.674400:0.393415:0.669495:0.393415:0.000000
0:@0.495947:0.400702:0.500852:0.400702:0.500852:0.392155:0.495947:0.392155:0.000000
0:@0.484599:0.390284:0.489504:0.390284:0.489504:0.381737:0.484599:0.381737:0.000000
Shutterstock, 136758263.:@0.920815:0.402780:0.920815:0.327501:0.909426:0.327501:0.909426:0.402780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las inecuaciones se  :@0.733359:0.131534:0.871583:0.131534:0.871583:0.117289:0.733359:0.117289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplican en la vida :@0.733359:0.146621:0.852050:0.146621:0.852050:0.132376:0.733359:0.132376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cotidiana, por ejemplo  :@0.733359:0.161709:0.891183:0.161709:0.891183:0.147464:0.733359:0.147464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al ir de compras, :@0.733359:0.176797:0.845749:0.176797:0.845749:0.162551:0.733359:0.162551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
controlar la velocidad :@0.733359:0.191884:0.880679:0.191884:0.880679:0.177639:0.733359:0.177639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un auto o, :@0.733359:0.206972:0.825160:0.206972:0.825160:0.192727:0.733359:0.192727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simplemente, en la :@0.733359:0.222059:0.863791:0.222059:0.863791:0.207814:0.733359:0.207814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación de nuestro :@0.733359:0.237147:0.865601:0.237147:0.865601:0.222902:0.733359:0.222902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
peso con nuestra altura.:@0.733359:0.252235:0.892925:0.252235:0.892925:0.237989:0.733359:0.237989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.763694:0.094423:0.876932:0.094423:0.876932:0.077523:0.763694:0.077523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.763694:0.111020:0.889223:0.111020:0.889223:0.094119:0.763694:0.094119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde::@0.736736:0.424889:0.810179:0.424889:0.810179:0.409776:0.736736:0.409776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿cuál es :@0.810179:0.424889:0.869465:0.424889:0.869465:0.410643:0.810179:0.410643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la diferencia entre :@0.736736:0.439976:0.859379:0.439976:0.859379:0.425731:0.736736:0.425731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuaciones y :@0.736736:0.455064:0.839261:0.455064:0.839261:0.440819:0.736736:0.440819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones?:@0.736736:0.470151:0.818454:0.470151:0.818454:0.455906:0.736736:0.455906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000