JAMB 1998 · UME · Q8

Sets & Venn diagrams

Given the universal set $U = \{1, 2, 3, 4, 5, 6\}$ and the sets $P = \{1, 2, 3, 4\}$ , $Q = \{3, 4, 5\}$ and $R = \{2, 4, 6\}$ , find $P \cup (Q \cap R)$ .

Worked solution (try it first)

Do the bracket first: $Q \cap R$ is the elements in both $Q$ and $R$ , which is $\{4\}$ .
Then $P \cup \{4\}$ is every element of $P$ together with 4.
Since 4 is already in $P$ , this is $\{1, 2, 3, 4\}$ , option B.

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