Problema Solution

11. Given A = {1, 3, 5, 7}, B = {2, 3, 5}, and C = {3, 4, 5, 6}. Evaluate each set

a) A ∩ B

b) A U C

c) B U C

d) (A U B) ∩ C

e) A U (B U C)

f) (A ∩ B) ∩ C

g) (A ∩ B) U C (Points : 7)

Answer provided by our tutors

AnB={3,5}

AuC={a,3,4,5,6,7}

Buc={2,3,4,5,6}

(AuB)nC={1,2,3,5,7}n{3, 4, 5, 6}={3,5}

A U (B U C)={1, 3, 5, 7}u{2,3,4,5,6}={1,2,3,4,5,6,7}

(A n B) U C={3,5} u{3, 4, 5, 6}={3,4,5,6}