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WAEC Mathematics 2018 Question 38

Question 38

Inequalities

The solution of x − 2 ≥ 2x − 1 illustrated on the number line as

Diagram for this question
  1. A.Number line −3 to 2: dot at 1, arrow to the left
  2. B.Number line −3 to 2: dot at 1, arrow to the right
  3. C.Number line −3 to 2: dot at −1, arrow to the left
  4. D.Number line −3 to 2: dot at −1, arrow to the right
Show the answer and explanation

Answer: C (Number line −3 to 2: dot at −1, arrow to the left)

Explanation

x − 2 ≥ 2x − 1 gives −1 ≥ x, i.e. x ≤ −1: a solid dot at −1 with the arrow to the left.