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WAEC Mathematics 2010 Question 33

Question 33

Inequalities

The shaded portion in the diagram is the solution of

Diagram for this question
  1. A.x + y ≤ 3
  2. B.x + y < 3
  3. C.x + y > 3
  4. D.x + y ≥ 3
Show the answer and explanation

Answer: B (x + y < 3)

Explanation

The boundary passes through (3, 0) and (0, 3), so it is x + y = 3. The shaded side contains the origin, where 0 + 0 < 3.