JAMB Mathematics 2002 Question 17

Question 17

Inequalities

Find the range of values of x for which (x + 2)/4 − (2x − 3)/3 < 4

  1. A.x > −6
  2. B.x > −3
  3. C.x < 8
  4. D.x < 4
Show the answer and explanation

Answer: A (x > −6)

Explanation

Multiply by 12: 3x + 6 − 8x + 12 < 48, so −5x < 30. Dividing by −5 reverses the sign: x > −6.