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WAEC Mathematics 2013 Question 31

Question 31

Sets

If P = {y: 2y ≥ 6} and Q = {y: y − 3 ≤ 4}, where y is an integer, find P∩Q.

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

Answer: C ({3, 4, 5, 6, 7})

Explanation

P: y ≥ 3 and Q: y ≤ 7. The integers in both are 3, 4, 5, 6, 7.