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GCE Mathematics 1989 Question 34

Question 34

Inequalities

With reference to the graph above, which of the following solution sets is represented by △OPQ?

Diagram for this question
  1. A.y ≥ x, y ≤ 0, y + x ≥ 7
  2. B.y ≤ x, y ≥ 0, y + x ≤ 7
  3. C.y ≥ x, y ≥ 0, y + x ≤ 7
  4. D.y ≤ x, y ≤ 0, y + x ≤ 7
  5. E.y ≤ x, y ≥ 0, y + x ≥ 7
Show the answer and explanation

Answer: B (y ≤ x, y ≥ 0, y + x ≤ 7)

Explanation

The triangle lies above the x-axis (y ≥ 0), below the line y = x (y ≤ x) and below the line y + x = 7 (y + x ≤ 7).