Question

Let A = { 1, 2, 3, 5, 7, 9, 11, 13 } & B = { 1, 2. 4, 6, 8, 12, 13 }
Verify the rule n( AB) = n(A) + n(B) – n(AB) For the given
sets A and B

Answer 1

Solution:

A∪B

=(1,2,3,4,5,7,13)

B′

=(1, 2. 4, 6, 8, 12, 13 )

(A∪B)∩B′

=(1,3,5,7,9,11,13)=A

A′  ∪A

=Universal Set

=N

A and B are two different sets with the same number of elements.

Hope it helps!