Question

AU(BnC) = (AuB) n (AUC)
If A = {0}, B = {0,1}, C = { }

Answer 1

Answer:

A={0}

B={0,1}

C= { }

LHS= AU{BnC}

(BnC)= {0,1}n{ }

={ }. (as {C} is a null set)

AU{BnC}= {0}U { }

={0}

RHS= (AUB)n(AUC)

(AUB)= {0}U{0,1}

={0,1}

(AUC)= {0}U{ }

={0}

so LHS= RHS (proved)