A survey shows that 63 % of the people in a city read newspaper A whereas 76 % read news paper B . If x % of the people read both the newspapers, then a possible value of x can be:

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n A = 63 n B = 76 n A ∩ B = x Let n ∪ = 100 n A ∪ B = n A + n B − n A ∩ B ≤ 100 ⇒ 63 + 76 − x ≤ 100 ⇒ x ≥ 39 But n A ∩ B ≤ n A ∴ 39 ≤ x ≤ 63 .

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