JAMB 1999 · UME · Q4✱✱

Sets & Venn diagrams

If $U = \{1, 2, 3, 4, 5, 6\}$ , $P = \{3, 4, 5\}$ , $Q = \{2, 4, 6\}$ and $R = \{1, 2, 3, 4\}$ , list the elements of $(P \cup Q)' \cap R$ .

Worked solution (try it first)

Join $P$ and $Q$ : $P \cup Q = \{2, 3, 4, 5, 6\}$ .
The complement is what is left in $U$ : $(P \cup Q)' = \{1\}$ .
Intersect with $R$ : 1 is in $R$ , so $(P \cup Q)' \cap R = \{1\}$ , option C.

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