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JAMB Mathematics 2006 Question 39

Question 39

Inequalities

The solution set of the shaded area above is

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

Answer: D (y ≤ x, y + x ≤ 4 and y ≥ 0)

Explanation

The shaded triangle has vertices (0, 0), (2, 2) and (4, 0): it is above the x-axis, below the line y = x and below the line y + x = 4.