Question

A={2,4,6,8,10},B={3,6,9,12,15} then find the values of (AUB) -(AnB) and (A-B) U (B-A) ​

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

′

.

Answer 2

Answer:

(AUB) = { 2,3,4,6,8,9,10,12,15}

(AnB) = { 6}

(A-B) = P(A) - P( AnB)

(B-A) = P(B) - P(AnB)