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JAMB Mathematics 1995 Question 16

Question 16

Inequalities

Solve the following inequality (x − 3)(x − 4) ≤ 0

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

Answer: A (3 ≤ x ≤ 4)

Explanation

The product is zero at 3 and 4 and negative between them, so (x − 3)(x − 4) ≤ 0 for 3 ≤ x ≤ 4 (the ends are included because of '='.)