passwella.
Menu

JAMB Mathematics 2008 Question 18

Question 18

Inequalities

Solve the quadratic inequality x2 − 5x + 6 ≥ 0

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

Answer: A (x ≤ 2, x ≥ 3)

Explanation

x2 − 5x + 6 = (x − 2)(x − 3), which is zero at 2 and 3 and positive outside them: x ≤ 2 or x ≥ 3.