Introduccin al pensamiento matemticoUnidad 3. Teora de conjuntos

Actividad 1. Operaciones con conjuntos

Instrucciones: Construye conjuntos que sean resultado de la unin, interseccin, diferencia, complemento y producto cartesiano de distintos conjuntos.

Sean los conjuntos:

A = {x | x es un mltiplo de 2}, B = {y |y es un mltiplo de 4} y C = {z | z es un mltiplo de 6}A = {2, 4, 6, 8}B = {4, 8, 12, 16}C = {6, 12, 18, 24}

Determina:1. A (B C) = {2, 4, 6, 8, 12, 16, 18, 24}2. A (B C) = { }3. A (B C) = {2}4. A (B C) = {2, 4, 6, 8}5. A x (B x C) =

B x C481216

6(6,4)(6,8)(6,12)(6,16)

12(12,4)(12,8)(12,12)(12,16)

18(18,4)(18,8)(18,12)(18,16)

24(24,4)(24,8)(24,12)(24,16)

AX(BxC)(6,4)(6,8)(6,12)(6,16)(12,4)(12,8)(12,12)(12,16)(18,4)(18,8)(18,12)(18,16)(24,4)(24,8)(24,12)(24,16)

22,(6,4)2,(6,8)2,(6,12)2,(6,16)2,(12,4)2,(12,8)2,(12,12)2,(12,16)2,(18,4)2,(18,8)2,(18,12)2,(18,16)2,(24,4)2,(24,8)2,(24,12)2,(24,16)

44,(6,4)4,(6,8)4,(6,12)4,(6,16)4,(12,4)4,(12,8)4,(12,12)4,(12,16)4,(18,4)4,(18,8)4,(18,12)4,(18,16)4,(24,4)4,(24,8)4,(24,12)4,(24,16)

66,(6,4)6,(6,8)6,(6,12)6,(6,16)6,(12,4)6,(12,8)6,(12,12)6,(12,16)6,(18,4)6,(18,8)6,(18,12)6,(18,16)6,(24,4)6,(24,8)6,(24,12)6,(24,16)

88,(6,4)8,(6,8)8,(6,12)8,(6,16)8,(12,4)8,(12,8)8,(12,12)8,(12,16)8,(18,4)8,(18,8)8,(18,12)8,(18,16)8,(24,4)8,(24,8)8,(24,12)8,(24,16)

A x (B x C) = {[2,(6,4)], [2,(6,8)], [2,(6,12)], [2,(6,16)], [2,(12,4)], [2,(12,8)], [2,(12,12)], [2,(12,16)], [2,(18,4)], [2,(18,8)], [2,(18,12)], [2,(18,16)], [2,(24,4)], [2,(24,8)], [2,(24,12)], [2,(24,16)], [4,(6,4)], [4,(6,8)], [4,(6,12)], [4,(6,16)], [4,(12,4)], [4,(12,8)], [4,(12,12)], [4,(12,16)], [4,(18,4)], [4,(18,8)], [4,(18,12)], [4,(18,16)], [4,(24,4)], [4,(24,8)], [4,(24,12)], [4,(24,16)], [6,(6,4)], [6,(6,8)], [6,(6,12)], [6,(6,16)], [6,(12,4)], [6,(12,8)], [6,(12,12)], [6,(12,16)], [6,(18,4)], [6,(18,8)], [6,(18,12)], [6,(18,16)], [6,(24,4)], [6,(24,8)], [6,(24,12)], [6,(24,16)], [8,(6,4)], [8,(6,8)], [8,(6,12)], [8,(6,16)], [8,(12,4)], [8,(12,8)], [8,(12,12)], [8,(12,16)], [8,(18,4)], [8,(18,8)], [8,(18,12)], [8,(18,16)], [8,(24,4)], [8,(24,8)], [8,(24,12)], [8,(24,16)]}

6. El complemento de B y de C con respecto al conjunto A (tomando como conjunto universal al conjunto A).A = {2, 4, 6, 8}B = {4, 8, 12, 16}C = {6, 12, 18, 24}

B = {2, 6}C = {2, 4, 6, 8}