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WAEC Mathematics 2021 Question 6

Question 6

Sets

If P = {−3 < x < 1} and Q = {−1 < x < 3}, where x is a real number, find P ∩ Q.

  1. A.{−1 < x < 1}
  2. B.{−3 ≤ x ≤ 1}
  3. C.{−3 < x < 1}
  4. D.{−1 ≤ x ≤ 1}
Show the answer and explanation

Answer: A ({−1 < x < 1})

Explanation

The overlap of the two intervals starts at −1 and ends at 1, with both ends excluded: −1 < x < 1.