WAEC 2019 · Paper 1 · Q6

Sets & Venn diagrams

If $T = \{\text{prime numbers}\}$ and $M = \{\text{odd numbers}\}$ are subsets of $\mu = \{x : 0 < x \le 10\}$ and $x$ is an integer, find $T' \cap M'$ .

Worked solution (try it first)

$\mu = \{1, 2, \dots, 10\}$ , $T = \{2, 3, 5, 7\}$ and $M = \{1, 3, 5, 7, 9\}$ .
$T' = \{1, 4, 6, 8, 9, 10\}$ and $M' = \{2, 4, 6, 8, 10\}$ .
The elements in both are $T' \cap M' = \{4, 6, 8, 10\}$ , option A.

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