Question

Dados os conjuntos A={0,3,4,5,6,7,8}; B={2,4,5,6,9} e C={0,3,6,9,10}. Determine:

a) A∪B

b) B∩C

c) (A∩B) ∪C

d) (A∩B) ∩C

e) A∪ (B∩C)

f) A∩ (B∩C)

Answer 1

A = {0,3,4,5,6,7,8}
B = {2,4,5,6,9}
C = {0,3,6,9,10}

a)A ∪ B = [0,2,3,4,5,6,7,8,9}
b) B ∩ C  = {6,9}
c) ( A  ∩ B) ∪  C = 
 = {4,5,6} ∪  C  = { 0,3,4,5,6,9,10}
d) (A ∩  B)  ∩  C = { 6 }
e) A ∪  ( B ∩ C) = {0,3,4,5,6,7,8,9}
f) A ∩ (B ∩ C) = { 6 }