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JAMB Mathematics 1986 Question 19

Question 19

Inequalities

Find all real numbers x which satisfy the inequality 1/3(x + 1) − 1 > 1/5(x + 4).

  1. A.x < 11
  2. B.x < −1
  3. C.x > 6
  4. D.x > 11.
Show the answer and explanation

Answer: D (x > 11.)

Explanation

Multiply by 15: 5(x + 1) − 15 > 3(x + 4), so 5x − 10 > 3x + 12, 2x > 22 and x > 11.