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JAMB Mathematics 2003 Question 19

Question 19

Inequalities

Triangle OPQ above is the solution to the inequalities

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

Answer: A (x + 1 ≥ 0, y + x ≤ 0, y − x ≥ 0)

Explanation

The triangle lies to the right of x = −1 (x + 1 ≥ 0), below the line y + x = 0 and above the line y − x = 0. The point (−0.5, 0) inside it satisfies all three inequalities in A.