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Question
If A and B are subsets of the universal set X and n(X) = 50, n(A) = 35, n(B) = 20, n(A'∩ B') = 5, find: n(A ∪ B)
Sum
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Solution
n(X) = 50, n(A) = 35, n(B) = 20, n(A'∩B') = 5
n (A∪B) = n(X) - [n(A ∪ B)']
= n(X) - n(A' ∩ B')
= 50 - 5
= 45
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Chapter 1: Sets and Relations - Exercise 1.1 [Page 10]
