Question

ME AJUDEM POR FAVOR
1. Dados A = {0,1,2,3,4,5},B = {0,2,4,6,8}, C = {1,3,5,7,9} e D = {2,3,5,9}, determine:
a) (A ∩ B) ∪ C d) (A ∩ B) ∪ (C ∩ D)
b) (B ∪ D) ∩ A e) (A ∪ D) ∩ (B ∪ C)
c) (A ∪ C) ∩ D f) (A ∪ C) ∩ (B ∪ D)

Answer 1

Explicação passo-a-passo:

Dados A = {0,1,2,3,4,5},B = {0,2,4,6,8}, C = {1,3,5,7,9} e D = {2,3,5,9}, determine:

a) (A ∩ B) ∪ C = { 2, 4 } U {1,3,5,7,9}

= {1,2,3,5,7,9}

d) (A ∩ B) ∪ (C ∩ D)

= { 2, 4 } ∩ {3,5,9}

= { }

b) (B ∪ D) ∩ A

= {0,2,3,4,5,6,8,9} ∩ {0,1,2,3,4,5}

= {0,2,3,4,5}

e) (A ∪ D) ∩ (B ∪ C)

= {0,1,2,3,4,5,9} ∩ {0,1,2,3,4 5,6 7,8 9}

= {0,1,2,3,4,5,9}

c) (A ∪ C) ∩ D

= {0,1,2,3,4,5,7,9} ∩ {2,3,5,9}

= {2,3,5,9}

f) (A ∪ C) ∩ (B ∪ D)

= {0,1,2,3,4,5,7,9} ∩ {0,2,3,4,5,6,8,9}

= {0,2,3,4,5,9}

Espero ter Ajudado.

:)