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WAEC Mathematics 2016 Question 9

Question 9

Inequalities

Which of the following number lines illustrates the solution of the inequality 4 ≤ ⅓(2x − 1) < 5?

Diagram for this question
  1. A.Open circle at 6½ with arrow to the left, and open circle at 8 with arrow to the right
  2. B.Closed circles at 6½ and 8
  3. C.Open circles at 6½ and 8
  4. D.Closed circle at 6½ and open circle at 8
Show the answer and explanation

Answer: D (Closed circle at 6½ and open circle at 8)

Explanation

12 ≤ 2x − 1 < 15 gives 6½ ≤ x < 8: a closed (shaded) circle at 6½ and an open circle at 8.