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GCE Mathematics 1990 Question 16

Question 16

Inequalities

The area shaded with horizontal lines is the solution set of the inequalities:

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

Answer: B (y ≤ x, y + 2x ≥ −3, x ≤ 3)

Explanation

The horizontal-lined region lies below y = x, above the falling line y + 2x = −3 and to the left of x = 3.