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Question
A and B are two sets such that n(A – B) = 32 + x, n(B – A) = 5x and n(A ∩ B) = x. Illustrate the information by means of a Venn diagram. Given that n(A) = n(B). Calculate the value of x
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Solution
n(A – B) = 32 + x, n(B – A) = 5x
n(A ∩ B) = x
From the Venn diagram:
Given n(A) = n(B)
32 + x + x = x + 5x
32 + 2x = 6x
32 = 6x – 2x
32 = 4x
x = `32/4` = 8
The value of x = 8
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