Question

If A = {1, 2,}, B = {4, 5, 6} and C = {7, 8, 9}, verify that : A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

Answer 1

Answer:

BnC = { }

AU(BnC) = {1,2}

AUB = {1,2,4,5,6}

AUC = {1,2,7,8,9}

(AUB)n(AUC) = {1,2}

hence, AU(BnC) = (AUB)n(AUC)