If A and B are two sets such that n(A) = 24, n(B) = 22 and n(A ∩ B) = 8, find: (i) n(A ∪ B) (ii) n(A – B) (iii) n(B – A)

Question

Philoid · Accepted Answer

Given:

n(A) = 24, n(B) =22 and n(A ∩ B) = 8

To Find:

(i) n(A ∪ B)

n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

= 24 + 22 – 8

= 38

Therefore,

n(A ∪ B) = 38

(ii) n(A - B)

We know that,

n(A - B) = n(A) – n(A ∩ B)

= 24 – 8

= 16

Therefore,

n(A - B) = 16

(iii) n(B - A)

We know that,

n(B - A) = n(B) – n(A ∩ B)

= 22 – 8

= 14

Therefore,

n(B - A) = 14