JAMB 2013 · UTME · Q10

If P={x:x is odd,−1<x≤20}P = \{x : x \text{ is odd}, -1 < x \le 20\} and Q={y:y is prime,−2<y≤25}Q = \{y : y \text{ is prime}, -2 < y \le 25\}, find P∩QP \cap Q.

Worked solution (try it first)
  1. PP is the odd numbers from 1 to 19: {1,3,5,…,19}\{1, 3, 5, \dots, 19\}.
  2. QQ is the primes up to 25: {2,3,5,7,11,13,17,19,23}\{2, 3, 5, 7, 11, 13, 17, 19, 23\}.
  3. The common elements are the odd primes up to 19: {3,5,7,11,13,17,19}\{3, 5, 7, 11, 13, 17, 19\}, option A.

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