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WAEC Mathematics 2017 Question 12

Question 12

Inequalities

Solve: −¼ < ¾(3x − 2) < ½

  1. A.5/9 < x < 8/9
  2. B.−8/9 < x < 7/9
  3. C.−8/9 < x < 5/9
  4. D.−7/9 < x < 8/9
Show the answer and explanation

Answer: A (5/9 < x < 8/9)

Explanation

Multiply by 4/3: −⅓ < 3x − 2 < ⅔, so 5/3 < 3x < 8/3 and 5/9 < x < 8/9.