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06 S5 IST_A
9) Dados los conjuntos: E = { x Є N / x ≤ 6} F = { x Є N / (x ≥ 1) y ( x ≤ 5)} G = {x Є N / x es impar y x < 7} Determina las interacciones siguientes:
E F: E)
E
(F
F E: F)
G
(G
G G)
F
(E
F G E)
E
(G
E G: G)
G
(G
F:
Intercepción de Conjuntos: E F E = { x Є N / x ≤ 6} => E= { 0,1,2,3,4,5,6} F = { x Є N / (x ≥ 1) y ( x ≤ 5)} => F = {1,2,3,4,5} E
F = {1,2,3,4,5} o E
F=F
E F F = { x Є N / (x ≥ 1) y ( x ≤ 5)} E = { x Є N / x ≤ 6} => { 0,1,2,3,4,5,6} F
E=F
=>
F
E
F = {1,2,3,4,5} E=
G
F:
G = {x Є N / x es impar y x < 7} => F = { x Є N / (x ≥ 1) y ( x ≤ 5)} => G
F = {1,3,5} o G
G = {1,3,5} F = {1,2,3,4,5}
F =G
G F
G:
F = { x Є N / (x ≥ 1) y ( x ≤ 5)} => G = {x Є N / x es impar y x < 7} F
G= {1,3,5} o F
F F = {1,2,3,4,5} G = {1,3,5}
G =G
F
G
E
G
E = { x Є N / x ≤ 6} => { 0,1,2,3,4,5,6} G = {x Є N / x es impar y x < 7} => E
G = {1,3,5}
G=G
E
G G
E
G = {x Є N / x es impar y x < 7} => E = { x Є N / x ≤ 6} => { 0,1,2,3,4,5,6} G
E =
E=G
G
E
G = {1,3,5} E =
F = { x Є N / (x ≥ 1) y ( x ≤ 5)}
=>
F
= {1,2,3,4,5} E
E = { x Є N / x ≤ 6} F=={ {1,2,3,4,5} 0,1,2,3,4,5,6}o E F = F
=>
E
F E = { x Є N / x ≤ 6} => { 0,1,2,3,4,5,6} (E F) = {1,2,3,4,5} o
E E=
E
= {1,2,3,4,5} o
F=F = (F
E)
G = {x Є N / x es impar y x < 7} => ( )= = (G
F)
G
F = { x Є N / (x ≥ 1) y ( x ≤ 5)} E G=G => {1,3,5} =E
G
G = {1,3,5}
=>
F = {1,2,3,4,5}
11) Determinar la diferencia de los siguientes pares de conjunto c)X= {9,11,15} Y= {11,51,19} x – y = {9,15}
y–x=
{51,19}
n)D= {Las mujeres médicos} E= {Las mujeres casadas} D–E=D
E–D=E
c) H = { x Є N / x termina en 7 y x <28} => H={7,17,27} L = {0,17,71} H – L = {7,27} = {0,71}
k)F ={Los Divisores de 8} => {1,2,4,8} G = {Los Divisores de 4} => G={1,2,4} F – G = {8} F=ø
L–H
F=
G–