Question

Q.2) If U= {1,2,3,4,5,6,7,8); X=(5,6,7}; Y= {1,4,8}; Z = {1,3,5,7} then find: n(X'), n(Y') & n(Z') ​

Answer 1

Answer:

Given, universal set, U={1,2,3,4,5,6,7}

A={1,2,5,7}

B={3,4,5,6}

(A∪B)′=U−(A∪B)

={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}

=ϕ

A′∩B′=(U−A)n(U−B)

={3,4,6}n{1,2,7}

=ϕ

Hence (A∪B)′=A′∩B′.