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)
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