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WAEC Mathematics 2006 Question 14

Question 14

Inequalities

Represent the solution of the inequality (x − 2)/2 ≥ (x + 3)/4 on the 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: D (Diagram D)

Explanation

Multiply both sides by 4: 2(x − 2) ≥ x + 3, so 2x − 4 ≥ x + 3 and x ≥ 7. This is a closed (filled) dot at 7 with the arrow pointing right, as in D.