Question

4) 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 U B
b) A ∩ B
c) A U C
d) A ∩ C
e) B ∩ C
f) (A ∩ B) U C
g) (A ∩ C) U B
h) (A ∩ B) ∩ C
i) (A U B) ∩ C
j) (A U C) ∩ B
k) A U (B ∩ C)

Answer 1

a) AUB= {0,2,3,4,5,6,7,8,9}

b)AΠB={4,5,6}

c)AUC={0,3,4,5,6,7,8,9,10}

d)AΠC={0,3,6,}

e)BΠC= {6,9}

f) (AΠB)UC={0,3,4,5,6,9,10}

g)(AΠC)UB={0,2,3,4,5,6,9}

h)(AΠB)ΠC={6}

I)(AUB)ΠC={0,3,6,9}

J)(AUC)ΠB={4,5,6,9}

k)AU(BΠC)= {0,3,4,5,6,7,8,9}