Question

If ξ = {1,2,3,4,5,6,7,8,9}, P = {1,2,4,5,7,9} and Q = {4,5,7,8} then find (i) P' (ii) Q' (iii) PUQ (iv) P– Q (v) P'UQ

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

′

.

solution