JAMB 2000 · UME · Q1

Sets & Venn diagrams

Let $P = \{1, 2, u, v, w, x\}$ , $Q = \{2, 3, u, v, w, 5, 6, y\}$ and $R = \{2, 3, 4, v, x, y\}$ . Determine $(P - Q) \cap R$ .

Worked solution (try it first)

$P - Q$ is the elements of $P$ that are not in $Q$ .
Of $1, 2, u, v, w, x$ , only 1 and $x$ are not in $Q$ , so $P - Q = \{1, x\}$ .
Of these, only $x$ is in $R$ , so $(P - Q) \cap R = \{x\}$ , option C.

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