﻿134:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Relaciones entre conjuntos:@0.286308:0.079033:0.755790:0.079033:0.755790:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Cuando comparamos los elementos de dos o más conjuntos, podemos establecer :@0.287495:0.141392:0.907713:0.141392:0.907713:0.125003:0.287495:0.125003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relaciones entre ellos. Estas relaciones son indispensables para operar con conjuntos, :@0.287495:0.157989:0.907659:0.157989:0.907659:0.141600:0.287495:0.141600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo cual veremos en el siguiente tema.:@0.287495:0.174585:0.559336:0.174585:0.559336:0.158196:0.287495:0.158196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjuntos iguales:@0.287495:0.203778:0.469095:0.203778:0.469095:0.182268:0.287495:0.182268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La relación de igualdad se establece cuando dos o más conjuntos tienen exacta-:@0.287495:0.222996:0.903697:0.222996:0.903697:0.206607:0.287495:0.206607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mente los mismos elementos. Esta relación se basa en la similitud de los elementos :@0.287495:0.239593:0.907713:0.239593:0.907713:0.223204:0.287495:0.223204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presentes en cada conjunto, lo que determina su igualdad.:@0.287495:0.256189:0.717423:0.256189:0.717423:0.239800:0.287495:0.239800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.287495:0.276354:0.350979:0.276354:0.350979:0.259716:0.287495:0.259716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos si los siguientes conjuntos son iguales.:@0.287495:0.296518:0.682687:0.296518:0.682687:0.280129:0.287495:0.280129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.295143:0.317941:0.305039:0.317941:0.305039:0.301580:0.295143:0.301580:0.000000
x x:@0.329953:0.317941:0.360192:0.317941:0.360192:0.301580:0.329953:0.301580:0.000000:0.000000:0.000000
x:@0.427859:0.317941:0.435322:0.317941:0.435322:0.301580:0.427859:0.301580:0.000000
B:@0.524291:0.317941:0.533136:0.317941:0.533136:0.301580:0.524291:0.301580:0.000000
=:@0.308190:0.317526:0.318306:0.317526:0.318306:0.300584:0.308190:0.300584:0.000000
∈:@0.362901:0.317526:0.376040:0.317526:0.376040:0.300584:0.362901:0.300584:0.000000
<≤:@0.413411:0.317526:0.449861:0.317526:0.449861:0.300584:0.413411:0.300584:0.000000:0.000000
{:@0.320323:0.319261:0.329169:0.319261:0.329169:0.297609:0.320323:0.297609:0.000000
}:@0.461203:0.319261:0.470048:0.319261:0.470048:0.297609:0.461203:0.297609:0.000000
=:@0.537058:0.317513:0.547174:0.317513:0.547174:0.300570:0.537058:0.300570:0.000000
{:@0.549203:0.319261:0.558048:0.319261:0.558048:0.297609:0.549203:0.297609:0.000000
}:@0.604744:0.319261:0.613589:0.319261:0.613589:0.297609:0.604744:0.297609:0.000000
/:@0.341787:0.317927:0.348255:0.317927:0.348255:0.301538:0.341787:0.301538:0.000000
; 3:@0.391468:0.317927:0.410835:0.317927:0.410835:0.301538:0.391468:0.301538:0.000000:0.000000:0.000000
,,  4:@0.566899:0.317927:0.605578:0.317927:0.605578:0.301538:0.566899:0.301538:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.377647:0.318799:0.390952:0.318799:0.390952:0.302050:0.377647:0.302050:0.000000
            :@0.475921:0.317927:0.524349:0.317927:0.524349:0.301538:0.475921:0.301538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.453034:0.317927:0.462027:0.317927:0.462027:0.301538:0.453034:0.301538:0.000000
65:@0.557685:0.317927:0.586266:0.317927:0.586266:0.301538:0.557685:0.301538:0.000000:0.000000
Solución:@0.287499:0.342061:0.351277:0.342061:0.351277:0.325423:0.287499:0.325423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos por extensión al conjunto A y comparamos sus elementos con los :@0.287499:0.362226:0.907734:0.362226:0.907734:0.345837:0.287499:0.345837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del conjunto B.:@0.287499:0.378822:0.397639:0.378822:0.397639:0.362433:0.287499:0.362433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.287499:0.398987:0.297394:0.398987:0.297394:0.382626:0.287499:0.382626:0.000000
 = {4, 5, 6} :@0.297394:0.398987:0.371713:0.398987:0.371713:0.382598:0.297394:0.382598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.408117:0.398987:0.412153:0.398987:0.412153:0.382598:0.408117:0.382598:0.000000
                = {6, 5, 4}:@0.468425:0.398987:0.604052:0.398987:0.604052:0.382598:0.468425:0.382598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.524924:0.398987:0.533769:0.398987:0.533769:0.382626:0.524924:0.382626:0.000000
El conjunto A tiene los mismos elementos del conjunto B, por lo tanto podemos :@0.287499:0.419151:0.907731:0.419151:0.907731:0.402763:0.287499:0.402763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
afirmar que A = B:@0.287499:0.435748:0.414926:0.435748:0.414926:0.419359:0.287499:0.419359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Relación de contenencia:@0.287495:0.461289:0.498775:0.461289:0.498775:0.442852:0.287495:0.442852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un conjunto M está contenido en otro conjunto N, cuando cada elemento de M :@0.287495:0.481135:0.907622:0.481135:0.907622:0.464746:0.287495:0.464746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pertenece a N. :@0.287495:0.497732:0.401137:0.497732:0.401137:0.481343:0.287495:0.481343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se simboliza por “:@0.402502:0.498170:0.530703:0.498170:0.530703:0.482501:0.402502:0.482501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.530445:0.498170:0.544340:0.498170:0.544340:0.481809:0.530445:0.481809:0.000000
N:@0.564260:0.498170:0.575519:0.498170:0.575519:0.481809:0.564260:0.481809:0.000000
⊂:@0.547767:0.497755:0.560906:0.497755:0.560906:0.480813:0.547767:0.480813:0.000000
que se lee “M está contenido en N” o “M es :@0.581753:0.497732:0.907624:0.497732:0.907624:0.481343:0.581753:0.481343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
subconjunto de N”.  :@0.287500:0.514328:0.434219:0.514328:0.434219:0.497939:0.287500:0.497939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El símbolo para la no contenencia es :@0.434213:0.514767:0.705670:0.514767:0.705670:0.499097:0.434213:0.499097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⊄:@0.709485:0.514352:0.722624:0.514352:0.722624:0.497410:0.709485:0.497410:0.000000
.:@0.725406:0.514767:0.728613:0.514767:0.728613:0.499097:0.725406:0.499097:0.000000
Ejemplo::@0.287495:0.534487:0.350979:0.534487:0.350979:0.517850:0.287495:0.517850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos si los conjuntos A o B son subconjuntos de M::@0.287495:0.554652:0.736477:0.554652:0.736477:0.538263:0.287495:0.538263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20}:@0.287495:0.578371:0.555949:0.578371:0.555949:0.561982:0.287495:0.561982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.287495:0.598536:0.306218:0.598536:0.306218:0.581635:0.287495:0.581635:0.000000:0.000000:0.000000
A = {1, 2, 3, 4, 5, 6}:@0.311230:0.598536:0.440998:0.598536:0.440998:0.582147:0.311230:0.582147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.287495:0.618700:0.307526:0.618700:0.307526:0.601800:0.287495:0.601800:0.000000:0.000000:0.000000
B = {4, 8, 12, 16, 20}:@0.311230:0.618700:0.450267:0.618700:0.450267:0.602311:0.311230:0.602311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.287495:0.638865:0.351273:0.638865:0.351273:0.622227:0.287495:0.622227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.287495:0.659029:0.306218:0.659029:0.306218:0.642129:0.287495:0.642129:0.000000:0.000000:0.000000
A no es subconjunto de M; :@0.311230:0.659029:0.511944:0.659029:0.511944:0.642640:0.311230:0.642640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.511944:0.659029:0.521840:0.659029:0.521840:0.642668:0.511944:0.642668:0.000000
⊄:@0.528497:0.658435:0.541636:0.658435:0.541636:0.642862:0.528497:0.642862:0.000000
M:@0.550017:0.659014:0.563912:0.659014:0.563912:0.642653:0.550017:0.642653:0.000000
, ya que 1   A, pero 1   M.:@0.563912:0.659014:0.755557:0.659014:0.755557:0.642625:0.563912:0.642625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.637438:0.666830:0.648918:0.666830:0.648918:0.647831:0.637438:0.647831:0.000000
∉:@0.722185:0.666830:0.733978:0.666830:0.733978:0.647831:0.722185:0.647831:0.000000
b):@0.287495:0.678860:0.302238:0.678860:0.302238:0.663495:0.287495:0.663495:0.000000:0.000000
B sí es subconjunto de M; :@0.311239:0.679174:0.502444:0.679174:0.502444:0.662785:0.311239:0.662785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.502628:0.679174:0.511473:0.679174:0.511473:0.662813:0.502628:0.662813:0.000000
⊂:@0.518300:0.678511:0.531439:0.678511:0.531439:0.660490:0.518300:0.660490:0.000000
M:@0.540003:0.679174:0.553897:0.679174:0.553897:0.662813:0.540003:0.662813:0.000000
, porque todos los elementos que pertenecen a :@0.553897:0.679174:0.907689:0.679174:0.907689:0.662785:0.553897:0.662785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B también pertenecen a M.:@0.311242:0.695770:0.509982:0.695770:0.509982:0.679381:0.311242:0.679381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjuntos intersecantes:@0.287495:0.724965:0.531924:0.724965:0.531924:0.703455:0.287495:0.703455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos conjuntos se dice que son intersecantes cuando tienen varios elementos :@0.287495:0.744181:0.907748:0.744181:0.907748:0.727792:0.287495:0.727792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunes.:@0.287495:0.760778:0.359085:0.760778:0.359085:0.744389:0.287495:0.744389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.287495:0.780942:0.350979:0.780942:0.350979:0.764304:0.287495:0.764304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Verifiquemos si los siguientes conjuntos son intersecantes.:@0.287495:0.801107:0.714696:0.801107:0.714696:0.784718:0.287495:0.784718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.291529:0.822080:0.301443:0.822080:0.301443:0.805719:0.291529:0.805719:0.000000
x x:@0.328071:0.822080:0.358294:0.822080:0.358294:0.805719:0.328071:0.805719:0.000000:0.000000:0.000000
x:@0.424486:0.822080:0.431950:0.822080:0.431950:0.805719:0.424486:0.805719:0.000000
D:@0.503965:0.822080:0.515501:0.822080:0.515501:0.805719:0.503965:0.805719:0.000000
x x:@0.541391:0.822080:0.571631:0.822080:0.571631:0.805719:0.541391:0.805719:0.000000:0.000000:0.000000
=:@0.306292:0.821665:0.316408:0.821665:0.316408:0.804723:0.306292:0.804723:0.000000
∈:@0.361003:0.821665:0.374142:0.821665:0.374142:0.804723:0.361003:0.804723:0.000000
≤≤:@0.410058:0.821665:0.446508:0.821665:0.446508:0.804723:0.410058:0.804723:0.000000:0.000000
{:@0.318425:0.823414:0.327271:0.823414:0.327271:0.801762:0.318425:0.801762:0.000000
}:@0.457001:0.823414:0.465846:0.823414:0.465846:0.801762:0.457001:0.801762:0.000000
=:@0.519610:0.821665:0.529727:0.821665:0.529727:0.804723:0.519610:0.804723:0.000000
{:@0.531755:0.823414:0.540601:0.823414:0.540601:0.801762:0.531755:0.801762:0.000000
}:@0.691689:0.823414:0.700534:0.823414:0.700534:0.801762:0.691689:0.801762:0.000000
/:@0.339902:0.822080:0.346370:0.822080:0.346370:0.806410:0.339902:0.806410:0.000000
; 2:@0.388127:0.822080:0.407495:0.822080:0.407495:0.806410:0.388127:0.806410:0.000000:0.000000:0.000000
/  es un dígito par:@0.553239:0.822080:0.692496:0.822080:0.692496:0.806410:0.553239:0.806410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.375449:0.822951:0.387740:0.822951:0.387740:0.806203:0.375449:0.806203:0.000000
        :@0.471733:0.822080:0.504018:0.822080:0.504018:0.806410:0.471733:0.806410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.449123:0.822080:0.458115:0.822080:0.458115:0.806410:0.449123:0.806410:0.000000
Solución:@0.287531:0.850225:0.351309:0.850225:0.351309:0.833587:0.287531:0.833587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribimos por extensión ambos conjuntos y comparamos sus elementos.:@0.287531:0.870389:0.829887:0.870389:0.829887:0.854000:0.287531:0.854000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C :@0.287531:0.890554:0.300762:0.890554:0.300762:0.874193:0.287531:0.874193:0.000000:0.000000
= {2, 3, 4, 5, 6, 7} :@0.300762:0.890554:0.419749:0.890554:0.419749:0.874165:0.300762:0.874165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.468457:0.890554:0.472492:0.890554:0.472492:0.874165:0.468457:0.874165:0.000000
D:@0.528767:0.890554:0.540302:0.890554:0.540302:0.874193:0.528767:0.874193:0.000000
 = {0, 2, 4, 6, 8}:@0.540302:0.890554:0.643055:0.890554:0.643055:0.874165:0.540302:0.874165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los conjuntos tienen como elementos comunes 2, 4, 6, por tanto C y D son :@0.287531:0.910718:0.841499:0.910718:0.841499:0.894330:0.287531:0.894330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjuntos intersecantes.:@0.287531:0.927315:0.465687:0.927315:0.465687:0.910926:0.287531:0.910926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y sociología:@0.070098:0.187950:0.244757:0.187950:0.244757:0.172586:0.070098:0.172586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La teoría de conjuntos :@0.096064:0.344291:0.248426:0.344291:0.248426:0.329391:0.096064:0.329391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede ser una :@0.149119:0.359378:0.248427:0.359378:0.248427:0.344479:0.149119:0.344479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
herramienta útil en :@0.117373:0.374466:0.248427:0.374466:0.248427:0.359567:0.117373:0.359567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sociología, para organizar :@0.075308:0.389553:0.248426:0.389553:0.248426:0.374654:0.075308:0.374654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
datos, modelar relaciones :@0.074487:0.404641:0.248426:0.404641:0.248426:0.389742:0.074487:0.389742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sociales, analizar :@0.136153:0.419729:0.248427:0.419729:0.248427:0.404830:0.136153:0.404830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identidades y pertenencia :@0.070835:0.434816:0.248424:0.434816:0.248424:0.419917:0.070835:0.419917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
social, estudiar opiniones :@0.077386:0.449904:0.248427:0.449904:0.248427:0.435005:0.077386:0.435005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y comportamientos, :@0.110002:0.464991:0.248426:0.464991:0.248426:0.450092:0.110002:0.450092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y segmentar grupos :@0.110924:0.480079:0.248426:0.480079:0.248426:0.465180:0.110924:0.465180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sociales según :@0.148064:0.495167:0.248427:0.495167:0.248427:0.480268:0.148064:0.480268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferentes criterios.:@0.119216:0.510254:0.244757:0.510254:0.244757:0.495355:0.119216:0.495355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.090129:0.158791:0.247335:0.158791:0.247335:0.141890:0.090129:0.141890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.075336:0.310778:0.075336:0.305671:0.063254:0.305671:0.063254:0.310778:0.000000
Freepik:@0.075336:0.305671:0.075336:0.284021:0.063425:0.284021:0.063425:0.305671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números reales ( ) :@0.092345:0.618788:0.248426:0.618788:0.248426:0.603889:0.092345:0.603889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.228222:0.621529:0.240318:0.621529:0.240318:0.602971:0.228222:0.602971:0.000000
constituyen el conjunto :@0.086214:0.633876:0.248426:0.633876:0.248426:0.618977:0.086214:0.618977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
universo de los números :@0.081105:0.648963:0.248426:0.648963:0.248426:0.634064:0.081105:0.634064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales, irracionales, :@0.093183:0.664051:0.248426:0.664051:0.248426:0.649152:0.093183:0.649152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteros y naturales, que :@0.086197:0.679139:0.248426:0.679139:0.248426:0.664240:0.086197:0.664240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se relacionan de la :@0.121495:0.694226:0.248427:0.694226:0.248427:0.679327:0.121495:0.679327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente manera.:@0.125632:0.709314:0.244757:0.709314:0.244757:0.694415:0.125632:0.694415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.165029:0.746897:0.178333:0.746897:0.178333:0.726484:0.165029:0.726484:0.000000
 :@0.210637:0.787060:0.236638:0.787060:0.236638:0.766647:0.210637:0.766647:0.000000:0.000000:0.000000
`:@0.224974:0.784045:0.230502:0.784045:0.230502:0.767421:0.224974:0.767421:0.000000
:@0.122461:0.768694:0.136798:0.768694:0.136798:0.748280:0.122461:0.748280:0.000000
:@0.154064:0.793367:0.167369:0.793367:0.167369:0.772953:0.154064:0.772953:0.000000
:@0.108953:0.793367:0.121245:0.793367:0.121245:0.772953:0.108953:0.772953:0.000000
¿Qué relación existe entre el :@0.071272:0.858527:0.247772:0.858527:0.247772:0.843653:0.071272:0.843653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto de los números :@0.088795:0.873614:0.247774:0.873614:0.247774:0.858740:0.088795:0.858740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracionales y el de los :@0.108865:0.888702:0.247776:0.888702:0.247776:0.873828:0.108865:0.873828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números enteros?:@0.133055:0.903789:0.244759:0.903789:0.244759:0.888916:0.133055:0.888916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115799:0.583141:0.223340:0.583141:0.223340:0.566241:0.115799:0.566241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.4 :@0.290067:0.965521:0.329351:0.965521:0.329351:0.954766:0.290067:0.954766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definir y reconocer conjuntos y sus características (Destreza desagregada).:@0.329351:0.965521:0.675177:0.965521:0.675177:0.955091:0.329351:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.345533:0.965521:0.348101:0.965521:0.348101:0.955091:0.345533:0.955091:0.000000