First slide

Operations on Sets

Question

$If n (A - B) = 14, n (A \cup B) = 29 and n (A \cap B) = 9, then n (B - A) is$

Moderate

Solution

$\begin{array}{l} n (A \cup B) = n (A - B) + n (B - A) + n (A \cap B) \\ ∴ 29 = 14 + n (B - A) + 9 \\ ∴ n (B - A) = 6 \end{array}$

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