Sean U={1,2,3,4,5,6,7,a,b,c,d,e,f,g,h}, A={3,5,7,c,d}, B={2,3,4,5,b,c,e}, C={2,6,7,a,b,g}
Determine:
a) (A U B )∩ (C-A)
b)(A ∩ C) U(B-A)’
Respuestas a la pregunta
Respuesta:
Explicación paso a paso:
a)(A U B) =[2,3,4,5,7,b,c,d,e]
(C-A)=[2,6,a,b,g]
(A U B)∩(C-A)=[2,b]
b)(A ∩ C)=[7]
(B-A)’=[1,3,5,6,7,a,c,d,f,g,h]
(A ∩ C) U(B-A)’=[1,3,5,6,7,a,c,d,f,g,h]
Respuesta:
Ahí esta la respuesta.
Explicación paso a paso:
U = {1, 2, 3, 4, 5, 6, 7, a, b, c, d, e, f, g, h}
A = {3, 5, 7, c, d}
B = {2, 3, 4, 5, b, c, e}
C = {2, 6, 7, a, b, g}
Ahora:
A U B = {2, 3, 4, 5, 7, b, c, d, e}
C - A = {2, 6, a, b, g}
A ∩ C = {7}
B - A = {2, 4, b, e}
(B - A)’ = {1, 3, 5, 6, 7, a, c, d, f, g, h}
Luego:
a) (A U B ) ∩ (C - A) = {2, 3, 4, 5, 7, b, c, d, e} ∩ {2, 6, a, b, g}
(A U B ) ∩ (C - A) = {2, b}
b) (A ∩ C) U (B - A)’ = {7} U {1, 3, 5, 6, 7, a, c, d, f, g, h}
(A ∩ C) U (B - A)’ = {1, 3, 5, 6, 7, a, c, d, f, g, h}
Espero haberte ayudado. ;))