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JAMB Mathematics 2013 Question 10

Question 10

Sets

If P = {x: x is odd, −1 < x ≤ 20} and Q = {y: y is prime; −2 < y ≤ 25}, find P∩Q.

  1. A.{3,5,7,11,13,17,19}
  2. B.{2,3,5,7,11,1...}
  3. C.{3,5,7,11,17,19}
  4. D.{...6,11,13,17...}
Show the answer and explanation

Answer: A ({3,5,7,11,13,17,19})

Explanation

P = {1, 3, 5, ..., 19} and Q = {2, 3, 5, 7, 11, 13, 17, 19, 23}. The odd primes up to 19 are in both: {3, 5, 7, 11, 13, 17, 19}.