26:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
Orden en el conjunto  :@0.404235:0.118756:0.680900:0.118756:0.680900:0.074097:0.404235:0.074097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los números reales:@0.404235:0.156475:0.670145:0.156475:0.670145:0.111816:0.404235:0.111816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.7. Aplicar las propiedades de orden de los números reales para realizar operaciones con intervalos (unión, intersección, diferencia y complemento), de manera gráfica :@0.143847:0.956200:0.883369:0.956200:0.883369:0.946158:0.143847:0.946158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(en la recta numérica) y de manera analítica.:@0.143847:0.965001:0.335271:0.965001:0.335271:0.954959:0.143847:0.954959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De acuerdo con las definiciones sobre las relaciones de orden “me-:@0.404236:0.179949:0.891701:0.179949:0.891701:0.163452:0.404236:0.163452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nor que” y ”mayor que”, establecidas en los conjuntos de los números :@0.404236:0.197300:0.895995:0.197300:0.895995:0.180802:0.404236:0.180802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales, enteros, racionales, podemos definir estas relaciones en el :@0.404236:0.214651:0.895920:0.214651:0.895920:0.198153:0.404236:0.198153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto de los números reales   como se indica a continuación.:@0.404236:0.232002:0.869625:0.232002:0.869625:0.215504:0.404236:0.215504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.630639:0.231033:0.644549:0.231033:0.644549:0.217586:0.630639:0.217586:0.000000
Definición.:@0.404236:0.264896:0.488423:0.264896:0.488423:0.247950:0.404236:0.247950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sean:@0.488425:0.264433:0.526224:0.264433:0.526224:0.247935:0.488425:0.247935:0.000000:0.000000:0.000000:0.000000:0.000000
 x, y   :@0.526224:0.264549:0.576968:0.264549:0.576968:0.248080:0.526224:0.248080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.556778:0.264216:0.572826:0.264216:0.572826:0.249569:0.556778:0.249569:0.000000
R:@0.576968:0.263464:0.590878:0.263464:0.590878:0.250017:0.576968:0.250017:0.000000
.:@0.590878:0.264433:0.593633:0.264433:0.593633:0.247935:0.590878:0.247935:0.000000
i.:@0.404236:0.282001:0.411846:0.282001:0.411846:0.265286:0.404236:0.265286:0.000000:0.000000
  Diremos que “  es menor que  ”, que se escribe “:@0.411846:0.281784:0.774318:0.281784:0.774318:0.265286:0.411846:0.265286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.529942:0.281899:0.537417:0.281899:0.537417:0.265431:0.529942:0.265431:0.000000
y:@0.644607:0.281899:0.652294:0.281899:0.652294:0.265431:0.644607:0.265431:0.000000
x < y:@0.774318:0.281899:0.809342:0.281899:0.809342:0.265431:0.774318:0.265431:0.000000:0.000000:0.000000:0.000000:0.000000
”, si y solo si :@0.809342:0.281784:0.895860:0.281784:0.895860:0.265286:0.809342:0.265286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y – x   :@0.427971:0.299250:0.485786:0.299250:0.485786:0.282781:0.427971:0.282781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.465596:0.298918:0.481644:0.298918:0.481644:0.284271:0.465596:0.284271:0.000000
R:@0.485786:0.298166:0.499696:0.298166:0.499696:0.284719:0.485786:0.284719:0.000000
+:@0.499703:0.292788:0.506004:0.292788:0.506004:0.283170:0.499703:0.283170:0.000000
.:@0.506004:0.299141:0.508759:0.299141:0.508759:0.282644:0.506004:0.282644:0.000000
ii.:@0.404245:0.316709:0.416112:0.316709:0.416112:0.299995:0.404245:0.299995:0.000000:0.000000:0.000000
  Diremos que “  es mayor que  ”, que se escribe “:@0.416112:0.316492:0.773548:0.316492:0.773548:0.299995:0.416112:0.299995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.530249:0.316608:0.537724:0.316608:0.537724:0.300139:0.530249:0.300139:0.000000
y:@0.643230:0.316608:0.650917:0.316608:0.650917:0.300139:0.643230:0.300139:0.000000
x > y:@0.773548:0.316608:0.808880:0.316608:0.808880:0.300139:0.773548:0.300139:0.000000:0.000000:0.000000:0.000000:0.000000
”, si y solo si :@0.808880:0.316492:0.895998:0.316492:0.895998:0.299995:0.808880:0.299995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891771:0.316492:0.895913:0.316492:0.895913:0.299995:0.891771:0.299995:0.000000
y x:@0.427979:0.333959:0.462233:0.333959:0.462233:0.317490:0.427979:0.317490:0.000000:0.000000:0.000000
 <  ; o sea, :@0.435666:0.333843:0.512496:0.333843:0.512496:0.317345:0.435666:0.317345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x – y   :@0.512496:0.333959:0.570311:0.333959:0.570311:0.317490:0.512496:0.317490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.550121:0.333626:0.566169:0.333626:0.566169:0.318979:0.550121:0.318979:0.000000
R:@0.570311:0.332874:0.584221:0.332874:0.584221:0.319427:0.570311:0.319427:0.000000
+:@0.584217:0.327490:0.590518:0.327490:0.590518:0.317872:0.584217:0.317872:0.000000
.:@0.590518:0.333843:0.593273:0.333843:0.593273:0.317345:0.590518:0.317345:0.000000
Ejercicio resuelto:@0.404242:0.366650:0.522220:0.366650:0.522220:0.349863:0.404242:0.349863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   = 1 +  2,   =  3 – 1, entonces   > 0,   > 0 y, en consecuencia,  :@0.404242:0.383625:0.895896:0.383626:0.895896:0.367129:0.404242:0.367127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.421099:0.383741:0.428574:0.383741:0.428574:0.367272:0.421099:0.367272:0.000000
y:@0.509920:0.383742:0.517606:0.383742:0.517606:0.367273:0.509920:0.367273:0.000000
x:@0.668411:0.383742:0.675886:0.383742:0.675886:0.367273:0.668411:0.367273:0.000000
y:@0.713088:0.383742:0.720774:0.383742:0.720774:0.367273:0.713088:0.367273:0.000000
x + y :@0.404227:0.403855:0.442700:0.403855:0.442700:0.387386:0.404227:0.387386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 1 +  2 +  3 – 1 =  2 +  3 > 0. :@0.442700:0.403739:0.697244:0.403743:0.697244:0.387246:0.442700:0.387241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asimismo,   = (1 +  2) ( 3 – 1) >0.:@0.404219:0.430984:0.672222:0.430989:0.672222:0.414491:0.404219:0.414486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.482263:0.431100:0.497617:0.431100:0.497617:0.414631:0.482263:0.414631:0.000000:0.000000
Teorema.:@0.404223:0.464418:0.475695:0.464418:0.475695:0.447472:0.404223:0.447472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sean :@0.475697:0.463955:0.517637:0.463955:0.517637:0.447458:0.475697:0.447458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x, y, z   :@0.517637:0.464071:0.577726:0.464071:0.577726:0.447602:0.517637:0.447602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.557536:0.463738:0.573584:0.463738:0.573584:0.449092:0.557536:0.449092:0.000000
R:@0.577726:0.462987:0.591635:0.462987:0.591635:0.449540:0.577726:0.449540:0.000000
.:@0.591635:0.463955:0.594390:0.463955:0.594390:0.447458:0.591635:0.447458:0.000000
i):@0.404223:0.481523:0.414761:0.481523:0.414761:0.464808:0.404223:0.464808:0.000000:0.000000
  Si :@0.414761:0.481306:0.443909:0.481306:0.443909:0.464808:0.414761:0.464808:0.000000:0.000000:0.000000:0.000000:0.000000
x < y y < z:@0.443909:0.481422:0.518639:0.481422:0.518639:0.464953:0.443909:0.464953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.478240:0.481306:0.485137:0.481306:0.485137:0.464808:0.478240:0.464808:0.000000:0.000000
 entonces :@0.518639:0.481306:0.591633:0.481306:0.591633:0.464808:0.518639:0.464808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x < z.:@0.591633:0.481422:0.628179:0.481422:0.628179:0.464953:0.591633:0.464953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii) :@0.404223:0.498874:0.423103:0.498874:0.423103:0.482159:0.404223:0.482159:0.000000:0.000000:0.000000:0.000000
 :@0.423103:0.498657:0.427245:0.498657:0.427245:0.482159:0.423103:0.482159:0.000000
x < y,:@0.427958:0.498773:0.464984:0.498773:0.464984:0.482304:0.427958:0.482304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si y solo si :@0.464984:0.498657:0.543200:0.498657:0.543200:0.482159:0.464984:0.482159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x + z < y + z.:@0.543200:0.498773:0.632418:0.498773:0.632418:0.482304:0.543200:0.482304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.404223:0.531999:0.522201:0.531999:0.522201:0.515212:0.404223:0.515212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.404223:0.548974:0.432485:0.548974:0.432485:0.532476:0.404223:0.532476:0.000000:0.000000:0.000000:0.000000
x   :@0.432485:0.549090:0.464292:0.549090:0.464292:0.532621:0.432485:0.532621:0.000000:0.000000:0.000000:0.000000
:@0.444102:0.548757:0.460150:0.548757:0.460150:0.534110:0.444102:0.534110:0.000000
R:@0.464292:0.548005:0.478201:0.548005:0.478201:0.534558:0.464292:0.534558:0.000000
. Se tiene :@0.478201:0.548974:0.545281:0.548974:0.545281:0.532476:0.478201:0.532476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x < x:@0.545281:0.549090:0.579400:0.549090:0.579400:0.532621:0.545281:0.532621:0.000000:0.000000:0.000000:0.000000:0.000000
 + 1 y   + 1 <   + 2, entonces, :@0.579400:0.548974:0.791065:0.548974:0.791065:0.532476:0.579400:0.532476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.623094:0.549090:0.630568:0.549090:0.630568:0.532621:0.623094:0.532621:0.000000
x:@0.677248:0.549090:0.684723:0.549090:0.684723:0.532621:0.677248:0.532621:0.000000
x < x:@0.791065:0.549090:0.825184:0.549090:0.825184:0.532621:0.791065:0.532621:0.000000:0.000000:0.000000:0.000000:0.000000
 + 2.:@0.825184:0.548974:0.855527:0.548974:0.855527:0.532476:0.825184:0.532476:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema.:@0.404223:0.581868:0.475695:0.581868:0.475695:0.564922:0.404223:0.564922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sean:@0.475697:0.581406:0.513495:0.581406:0.513495:0.564908:0.475697:0.564908:0.000000:0.000000:0.000000:0.000000:0.000000
 a, b, c   :@0.513495:0.581521:0.580654:0.581521:0.580654:0.565052:0.513495:0.565052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.560464:0.581189:0.576512:0.581189:0.576512:0.566542:0.560464:0.566542:0.000000
R:@0.580654:0.580437:0.594564:0.580437:0.594564:0.566990:0.580654:0.566990:0.000000
. Se verifican las siguientes propiedades::@0.594564:0.581406:0.873195:0.581406:0.873195:0.564908:0.594564:0.564908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.404223:0.598973:0.414761:0.598973:0.414761:0.582259:0.404223:0.582259:0.000000:0.000000
  Si   <   y   > 0, entonces :@0.414761:0.598756:0.607876:0.598756:0.607876:0.582259:0.414761:0.582259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.443909:0.598872:0.504537:0.598872:0.504537:0.582403:0.443909:0.582403:0.000000:0.000000:0.000000:0.000000:0.000000
ac < bc.:@0.607876:0.598872:0.662685:0.598872:0.662685:0.582403:0.607876:0.582403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii) :@0.404223:0.616324:0.423103:0.616324:0.423103:0.599609:0.404223:0.599609:0.000000:0.000000:0.000000:0.000000
 Si   <   y   < 0, entonces :@0.423103:0.616107:0.607876:0.616107:0.607876:0.599609:0.423103:0.599609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.443909:0.616223:0.504537:0.616223:0.504537:0.599754:0.443909:0.599754:0.000000:0.000000:0.000000:0.000000:0.000000
ac > bc.:@0.607876:0.616223:0.662685:0.616223:0.662685:0.599754:0.607876:0.599754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iii) :@0.404223:0.633675:0.427360:0.633675:0.427360:0.616960:0.404223:0.616960:0.000000:0.000000:0.000000:0.000000:0.000000
 Si   < 0 y   > 0, entonces :@0.427360:0.633458:0.609186:0.633458:0.609186:0.616960:0.427360:0.616960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.443909:0.633573:0.452887:0.633573:0.452887:0.617105:0.443909:0.617105:0.000000
b:@0.496580:0.633573:0.505847:0.633573:0.505847:0.617105:0.496580:0.617105:0.000000
ab :@0.609186:0.633573:0.631456:0.633573:0.631456:0.617105:0.609186:0.617105:0.000000:0.000000:0.000000
< 0.:@0.631456:0.633458:0.657657:0.633458:0.657657:0.616960:0.631456:0.616960:0.000000:0.000000:0.000000:0.000000
iv) :@0.404223:0.651025:0.427110:0.651025:0.427110:0.634311:0.404223:0.634311:0.000000:0.000000:0.000000:0.000000
 Si   < 0 y   < 0, entonces :@0.427110:0.650809:0.609186:0.650809:0.609186:0.634311:0.427110:0.634311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.443909:0.650924:0.452887:0.650924:0.452887:0.634455:0.443909:0.634455:0.000000
b:@0.496580:0.650924:0.505847:0.650924:0.505847:0.634455:0.496580:0.634455:0.000000
ab :@0.609186:0.650924:0.631456:0.650924:0.631456:0.634455:0.609186:0.634455:0.000000:0.000000:0.000000
> 0.:@0.631456:0.650809:0.657657:0.650809:0.657657:0.634311:0.631456:0.634311:0.000000:0.000000:0.000000:0.000000
v) :@0.404223:0.668376:0.422929:0.668376:0.422929:0.651662:0.404223:0.651662:0.000000:0.000000:0.000000
 Si   ≠ 0, entonces   > 0.:@0.422929:0.668159:0.600518:0.668164:0.600518:0.651667:0.422929:0.651662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.443909:0.668275:0.452887:0.668275:0.452887:0.651806:0.443909:0.651806:0.000000
a:@0.556224:0.668275:0.565201:0.668275:0.565201:0.651806:0.556224:0.651806:0.000000
2:@0.565223:0.661811:0.570177:0.661811:0.570177:0.652193:0.565223:0.652193:0.000000
Ejercicio resuelto:@0.404244:0.700972:0.522222:0.700972:0.522222:0.684185:0.404244:0.684185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.404244:0.717947:0.432506:0.717947:0.432506:0.701449:0.404244:0.701449:0.000000:0.000000:0.000000:0.000000
x   :@0.432506:0.718062:0.464313:0.718062:0.464313:0.701593:0.432506:0.701593:0.000000:0.000000:0.000000:0.000000
:@0.444123:0.717730:0.460171:0.717730:0.460171:0.703083:0.444123:0.703083:0.000000
R:@0.464313:0.716978:0.478222:0.716978:0.478222:0.703531:0.464313:0.703531:0.000000
. Entonces,   – 3 <   y como –2 < 0, entonces, :@0.478222:0.717947:0.813068:0.717947:0.813068:0.701449:0.478222:0.701449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.557266:0.718062:0.564741:0.718062:0.564741:0.701593:0.557266:0.701593:0.000000
x, :@0.611112:0.718062:0.625694:0.718062:0.625694:0.701593:0.611112:0.701593:0.000000:0.000000:0.000000
–2 (  – 3) > –2 , de donde 6 – 2  > –2 .:@0.404244:0.735297:0.691102:0.735297:0.691102:0.718800:0.404244:0.718800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.433334:0.735413:0.440809:0.735413:0.440809:0.718944:0.433334:0.718944:0.000000
x:@0.512129:0.735413:0.519604:0.735413:0.519604:0.718944:0.512129:0.718944:0.000000
x:@0.635309:0.735413:0.642784:0.735413:0.642784:0.718944:0.635309:0.718944:0.000000
x:@0.680872:0.735413:0.688347:0.735413:0.688347:0.718944:0.680872:0.718944:0.000000
Intervalos:@0.404236:0.769140:0.484505:0.769140:0.484505:0.751457:0.404236:0.751457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los intervalos son conjuntos (:@0.404236:0.785848:0.631350:0.785848:0.631350:0.769350:0.404236:0.769350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
subconjuntos:@0.631350:0.786065:0.731954:0.786065:0.731954:0.769350:0.631350:0.769350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de  ), por lo tanto,  :@0.731954:0.785848:0.895905:0.785848:0.895905:0.769350:0.731954:0.769350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.765379:0.784879:0.779288:0.784879:0.779288:0.771432:0.765379:0.771432:0.000000
podemos realizar las operaciones de unión, intersección, diferencia, :@0.404236:0.803198:0.895957:0.803198:0.895957:0.786701:0.404236:0.786701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
complemento y diferencia simétrica.:@0.404236:0.820549:0.662001:0.820549:0.662001:0.804052:0.404236:0.804052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Intervalos acotados:@0.404236:0.853443:0.554906:0.853443:0.554906:0.836497:0.404236:0.836497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición. :@0.404236:0.870794:0.492450:0.870794:0.492450:0.853848:0.404236:0.853848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.492450:0.870331:0.530248:0.870331:0.530248:0.853834:0.492450:0.853834:0.000000:0.000000:0.000000:0.000000:0.000000
a, b   :@0.530248:0.870447:0.579510:0.870447:0.579510:0.853978:0.530248:0.853978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.559320:0.870115:0.575368:0.870115:0.575368:0.855468:0.559320:0.855468:0.000000
R:@0.579510:0.869363:0.593419:0.869363:0.593419:0.855916:0.579510:0.855916:0.000000
 con :@0.593419:0.870331:0.628653:0.870331:0.628653:0.853834:0.593419:0.853834:0.000000:0.000000:0.000000:0.000000:0.000000
a <b:@0.628653:0.870447:0.661924:0.870447:0.661924:0.853978:0.628653:0.853978:0.000000:0.000000:0.000000:0.000000
.:@0.661924:0.870331:0.664679:0.870331:0.664679:0.853834:0.661924:0.853834:0.000000
i) :@0.404236:0.887899:0.418859:0.887899:0.418859:0.871184:0.404236:0.871184:0.000000:0.000000:0.000000
  Se llama intervalo cerrado de extremos :@0.418859:0.887682:0.706410:0.887682:0.706410:0.871184:0.418859:0.871184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a y b:@0.706063:0.887798:0.739606:0.887798:0.739606:0.871329:0.706063:0.871329:0.000000:0.000000:0.000000:0.000000:0.000000
   al subconjunto de  , :@0.726523:0.887682:0.895884:0.887682:0.895884:0.871184:0.726523:0.871184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.875077:0.886713:0.888987:0.886713:0.888987:0.873267:0.875077:0.873267:0.000000
designado con [:@0.427971:0.905033:0.541925:0.905033:0.541925:0.888535:0.427971:0.888535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b:@0.541925:0.905149:0.566854:0.905149:0.566854:0.888680:0.541925:0.888680:0.000000:0.000000:0.000000:0.000000
] y definido como: :@0.566854:0.905033:0.701401:0.905033:0.701401:0.888535:0.566854:0.888535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.427971:0.929512:0.433828:0.929512:0.433828:0.913014:0.427971:0.913014:0.000000
a, b:@0.433828:0.929628:0.457755:0.929628:0.457755:0.913159:0.433828:0.913159:0.000000:0.000000:0.000000:0.000000
] = {  :@0.457755:0.929512:0.498174:0.929512:0.498174:0.913014:0.457755:0.913014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x   a x b:@0.486557:0.929628:0.595155:0.929628:0.595155:0.913159:0.486557:0.913159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.497153:0.929295:0.513200:0.929295:0.513200:0.914648:0.497153:0.914648:0.000000
R:@0.516341:0.928543:0.530250:0.928543:0.530250:0.915096:0.516341:0.915096:0.000000
|  ≤   ≤  }    :@0.530250:0.929512:0.614574:0.929512:0.614574:0.913014:0.530250:0.913014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.665741:0.939981:0.674719:0.939981:0.674719:0.923512:0.665741:0.923512:0.000000
b:@0.829669:0.939981:0.838936:0.939981:0.838936:0.923512:0.829669:0.923512:0.000000
[:@0.733208:0.939865:0.739065:0.939865:0.739065:0.923368:0.733208:0.923368:0.000000
a, b:@0.739065:0.939981:0.763994:0.939981:0.763994:0.923512:0.739065:0.923512:0.000000:0.000000:0.000000:0.000000
]:@0.763994:0.939865:0.769851:0.939865:0.769851:0.923368:0.763994:0.923368:0.000000
Saberes previos:@0.199646:0.099672:0.307805:0.099672:0.307805:0.084200:0.199646:0.084200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el contexto general, :@0.199884:0.128299:0.349837:0.128299:0.349837:0.113236:0.199884:0.113236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿qué significa la palabra orden?  :@0.153341:0.144141:0.359985:0.144141:0.359985:0.129078:0.153341:0.129078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y en el contexto de los núme-:@0.153341:0.159983:0.348868:0.159983:0.348868:0.144920:0.153341:0.144920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ros reales, ¿qué significa?:@0.153341:0.175825:0.309695:0.175825:0.309695:0.160762:0.153341:0.160762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.219413:0.363493:0.219413:0.363493:0.203941:0.199646:0.203941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando tienes expre-:@0.199884:0.248041:0.338634:0.248041:0.338634:0.232978:0.199884:0.232978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siones como   ≥   ≥  , ¿cómo :@0.153341:0.263883:0.350525:0.263883:0.350525:0.248820:0.153341:0.248820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.238969:0.263989:0.297051:0.263989:0.297051:0.248952:0.238969:0.248952:0.000000:0.000000:0.000000:0.000000:0.000000
las interpretas? Comparte tu :@0.153341:0.279725:0.340551:0.279725:0.340551:0.264662:0.153341:0.264662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respuesta con la clase.:@0.153341:0.295567:0.295359:0.295567:0.295359:0.280504:0.153341:0.280504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199646:0.346556:0.297269:0.346556:0.297269:0.331083:0.199646:0.331083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.199646:0.359124:0.311604:0.359124:0.311604:0.343651:0.199646:0.343651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende la siguiente :@0.193074:0.383598:0.329539:0.383598:0.329539:0.368535:0.193074:0.368535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simbología::@0.153338:0.399440:0.227162:0.399440:0.227162:0.384377:0.153338:0.384377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.153338:0.419467:0.165071:0.419467:0.165071:0.407189:0.153338:0.407189:0.000000
+:@0.165079:0.414323:0.171380:0.414323:0.171380:0.404705:0.165079:0.404705:0.000000
: enteros positivos:@0.171380:0.420354:0.286944:0.420354:0.286944:0.405291:0.171380:0.405291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.153350:0.440381:0.168002:0.440381:0.168002:0.428103:0.153350:0.428103:0.000000
+:@0.167999:0.435237:0.174300:0.435237:0.174300:0.425619:0.167999:0.425619:0.000000
: racionales positivos:@0.174299:0.441269:0.306383:0.441269:0.306383:0.426206:0.174299:0.426206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.153350:0.461296:0.166050:0.461296:0.166050:0.449019:0.153350:0.449019:0.000000
+:@0.166046:0.456152:0.172346:0.456152:0.172346:0.446534:0.166046:0.446534:0.000000
: reales positivos:@0.172346:0.462183:0.276055:0.462183:0.276055:0.447120:0.172346:0.447120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z    Q    R:@0.153349:0.482210:0.247704:0.482214:0.247704:0.469936:0.153349:0.469933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.165079:0.477067:0.171380:0.477067:0.171380:0.467449:0.165079:0.467449:0.000000
⊂:@0.175777:0.482636:0.188319:0.482636:0.188319:0.466464:0.175777:0.466464:0.000000
+:@0.207365:0.477067:0.213666:0.477067:0.213666:0.467449:0.207365:0.467449:0.000000
⊂:@0.218065:0.482636:0.230607:0.482636:0.230607:0.466464:0.218065:0.466464:0.000000
+:@0.247702:0.477067:0.254003:0.477067:0.254003:0.467449:0.247702:0.467449:0.000000
 :@0.254002:0.483098:0.257784:0.483098:0.257784:0.468035:0.254002:0.468035:0.000000
Competencia :@0.199646:0.553544:0.297269:0.553544:0.297269:0.538071:0.199646:0.538071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199646:0.566112:0.283709:0.566112:0.283709:0.550639:0.199646:0.550639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.191335:0.590692:0.198160:0.590692:0.198160:0.575655:0.191335:0.575655:0.000000
 > 0,   > 0, entonces :@0.198160:0.590586:0.331017:0.590586:0.331017:0.575523:0.198160:0.575523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.229646:0.590692:0.236664:0.590692:0.236664:0.575655:0.229646:0.575655:0.000000
x y:@0.153341:0.608316:0.184616:0.608316:0.184616:0.593279:0.153341:0.593279:0.000000:0.000000:0.000000
 +   > 0;:@0.160165:0.608211:0.212320:0.608211:0.212320:0.593147:0.160165:0.593147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.153341:0.625940:0.160165:0.625940:0.160165:0.610904:0.153341:0.610904:0.000000
 > 0,   > 0, entonces   > 0;:@0.160165:0.625835:0.334746:0.625835:0.334746:0.610772:0.160165:0.610772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.191652:0.625940:0.198670:0.625940:0.198670:0.610904:0.191652:0.610904:0.000000
xy:@0.293023:0.625940:0.307042:0.625940:0.307042:0.610904:0.293023:0.610904:0.000000:0.000000
x:@0.153341:0.643565:0.160165:0.643565:0.160165:0.628528:0.153341:0.628528:0.000000
 < 0,   < 0, entonces   +   < 0.:@0.160165:0.643459:0.352002:0.643459:0.352002:0.628396:0.160165:0.628396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.191652:0.643565:0.198670:0.643565:0.198670:0.628528:0.191652:0.628528:0.000000
x y:@0.293023:0.643565:0.324298:0.643565:0.324298:0.628528:0.293023:0.628528:0.000000:0.000000:0.000000
Sean :@0.153341:0.661083:0.187852:0.661083:0.187852:0.646020:0.153341:0.646020:0.000000:0.000000:0.000000:0.000000:0.000000
x, y   :@0.187852:0.661189:0.230402:0.661189:0.230402:0.646152:0.187852:0.646152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.211968:0.660885:0.226621:0.660885:0.226621:0.647512:0.211968:0.647512:0.000000
R:@0.230402:0.660199:0.243102:0.660199:0.243102:0.647921:0.230402:0.647921:0.000000
. El par  :@0.243102:0.661083:0.293076:0.661083:0.293076:0.646020:0.243102:0.646020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de desigualdades   <  ;   <    :@0.153341:0.676925:0.343380:0.676925:0.343380:0.661862:0.153341:0.661862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y y z:@0.267725:0.677031:0.335816:0.677031:0.335816:0.661994:0.267725:0.661994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da lugar a la desigualdad :@0.153341:0.692767:0.315695:0.692767:0.315695:0.677704:0.153341:0.677704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compuesta   <   < , que se lee :@0.153341:0.708609:0.358964:0.708609:0.358964:0.693546:0.153341:0.693546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y  z:@0.230137:0.708715:0.284912:0.708715:0.284912:0.693678:0.230137:0.693678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
“  es mayor que   y menor que :@0.153341:0.724451:0.357489:0.724451:0.357489:0.709388:0.153341:0.709388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.158512:0.724557:0.165530:0.724557:0.165530:0.709520:0.158512:0.709520:0.000000
x:@0.260042:0.724557:0.266867:0.724557:0.266867:0.709520:0.260042:0.709520:0.000000
z:@0.153341:0.740399:0.159409:0.740399:0.159409:0.725362:0.153341:0.725362:0.000000
”. Igualmente, la desigualdad :@0.159409:0.740293:0.344294:0.740293:0.344294:0.725230:0.159409:0.725230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compuesta   >   >   se lee  :@0.153341:0.756135:0.331789:0.756135:0.331789:0.741072:0.153341:0.741072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.230137:0.756241:0.284912:0.756241:0.284912:0.741204:0.230137:0.741204:0.000000:0.000000:0.000000:0.000000:0.000000
“  es mayor que   y menor que :@0.153341:0.771977:0.356734:0.771977:0.356734:0.756914:0.153341:0.756914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.158512:0.772083:0.165530:0.772083:0.165530:0.757046:0.158512:0.757046:0.000000
z:@0.260042:0.772083:0.266110:0.772083:0.266110:0.757046:0.260042:0.757046:0.000000
x:@0.153341:0.787925:0.160165:0.787925:0.160165:0.772888:0.153341:0.772888:0.000000
”, que corresponde a las dos :@0.160165:0.787819:0.342801:0.787819:0.342801:0.772756:0.160165:0.772756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desigualdades :@0.153341:0.803661:0.247641:0.803661:0.247641:0.788598:0.153341:0.788598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x > y; y > z.:@0.247641:0.803767:0.319107:0.803767:0.319107:0.788730:0.247641:0.788730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.281765:0.803661:0.285547:0.803661:0.285547:0.788598:0.281765:0.788598:0.000000
Practica escribe :@0.153341:0.821708:0.278861:0.821708:0.278861:0.806235:0.153341:0.806235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.210684:0.821285:0.225389:0.821285:0.225389:0.806222:0.210684:0.806222:0.000000:0.000000:0.000000
un ejemplo.:@0.278861:0.821285:0.355358:0.821285:0.355358:0.806222:0.278861:0.806222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema:@0.153341:0.844679:0.214464:0.844679:0.214464:0.829206:0.153341:0.829206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.214466:0.844256:0.218248:0.844256:0.218248:0.829193:0.214466:0.829193:0.000000
Sean :@0.153341:0.861880:0.187852:0.861880:0.187852:0.846817:0.153341:0.846817:0.000000:0.000000:0.000000:0.000000:0.000000
a, b:@0.187852:0.861986:0.210614:0.861986:0.210614:0.846949:0.187852:0.846949:0.000000:0.000000:0.000000:0.000000
 :@0.210614:0.861880:0.214396:0.861880:0.214396:0.846817:0.210614:0.846817:0.000000
:@0.214396:0.861682:0.229048:0.861682:0.229048:0.848309:0.214396:0.848309:0.000000
 :@0.229048:0.861986:0.232830:0.861986:0.232830:0.846949:0.229048:0.846949:0.000000
R:@0.232830:0.860996:0.245530:0.860996:0.245530:0.848718:0.232830:0.848718:0.000000
. :@0.245530:0.861880:0.251827:0.861880:0.251827:0.846817:0.245530:0.846817:0.000000:0.000000
i):@0.153341:0.879703:0.162962:0.879703:0.162962:0.864442:0.153341:0.864442:0.000000:0.000000
  :@0.162962:0.879505:0.170526:0.879505:0.170526:0.864442:0.162962:0.864442:0.000000:0.000000
a >:@0.177087:0.879610:0.199004:0.879610:0.199004:0.864574:0.177087:0.864574:0.000000:0.000000:0.000000
 0   :@0.199004:0.879505:0.234291:0.879502:0.234291:0.864438:0.199004:0.864442:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.234291:0.879607:0.242488:0.879607:0.242488:0.864570:0.234291:0.864570:0.000000
–1:@0.242487:0.873702:0.252598:0.873702:0.252598:0.864920:0.242487:0.864920:0.000000:0.000000
 > 0.:@0.252599:0.879502:0.280303:0.879502:0.280303:0.864438:0.252599:0.864438:0.000000:0.000000:0.000000:0.000000:0.000000
ii) :@0.153338:0.897324:0.170576:0.897324:0.170576:0.882063:0.153338:0.882063:0.000000:0.000000:0.000000:0.000000
 :@0.170576:0.897126:0.174358:0.897126:0.174358:0.882063:0.170576:0.882063:0.000000
a <:@0.177085:0.897231:0.199002:0.897231:0.199002:0.882195:0.177085:0.882195:0.000000:0.000000:0.000000
 0   :@0.199002:0.897126:0.234291:0.897126:0.234291:0.882063:0.199002:0.882063:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.234291:0.897232:0.242488:0.897232:0.242488:0.882195:0.234291:0.882195:0.000000
–1:@0.242487:0.891326:0.252598:0.891326:0.252598:0.882544:0.242487:0.882544:0.000000:0.000000
 < 0.:@0.252599:0.897126:0.280303:0.897126:0.280303:0.882063:0.252599:0.882063:0.000000:0.000000:0.000000:0.000000:0.000000
iii) :@0.153338:0.914949:0.174464:0.914949:0.174464:0.899687:0.153338:0.899687:0.000000:0.000000:0.000000:0.000000:0.000000
 0 < :@0.174464:0.914751:0.202273:0.914751:0.202273:0.899687:0.174464:0.899687:0.000000:0.000000:0.000000:0.000000:0.000000
a < b:@0.202273:0.914856:0.236433:0.914856:0.236433:0.899820:0.202273:0.899820:0.000000:0.000000:0.000000:0.000000:0.000000
   0 < :@0.236433:0.914751:0.285370:0.914750:0.285370:0.899687:0.236433:0.899687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.285370:0.914856:0.293831:0.914856:0.293831:0.899819:0.285370:0.899819:0.000000
–1:@0.293831:0.908951:0.303943:0.908951:0.303943:0.900169:0.293831:0.900169:0.000000:0.000000
 < :@0.303943:0.914750:0.321375:0.914750:0.321375:0.899687:0.303943:0.899687:0.000000:0.000000:0.000000
a:@0.321375:0.914856:0.329572:0.914856:0.329572:0.899819:0.321375:0.899819:0.000000
–1:@0.329571:0.908951:0.339682:0.908951:0.339682:0.900169:0.329571:0.900169:0.000000:0.000000
.:@0.339682:0.914750:0.342198:0.914750:0.342198:0.899687:0.339682:0.899687:0.000000