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JAMB Mathematics 1993 Question 20

Question 20

Inequalities

Solve the inequality y2 − 3y > 18

  1. A.−3 < y < 6
  2. B.y < −3 or y > 6
  3. C.y > −3 or y > 6
  4. D.y < −3 or y < 6
Show the answer and explanation

Answer: B (y < −3 or y > 6)

Explanation

y² − 3y − 18 = (y − 6)(y + 3) > 0. A product of two factors is positive when both have the same sign, so y < −3 or y > 6.