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WAEC Mathematics 2011 Question 48

Question 48

Inequalities

Illustrate the inequality −1 < 3x + 5 < 14 on a number line.

Diagram for this question
  1. A.Diagram A
  2. B.Diagram B
  3. C.Diagram C
  4. D.Diagram D
Show the answer and explanation

Answer: B (Diagram B)

Explanation

Subtract 5: −6 < 3x < 9, then divide by 3: −2 < x < 3. That is open circles at −2 and 3 joined by a line, as in B.