passwella.
Menu

JAMB Mathematics 2001 Question 13

Question 13

Inequalities

Triangle SPT is the solution of the linear inequalities

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

Answer: A (2y − x − 2 ≤ 0, y + 2x + 2 ≤ 0, y ≥ 0, x ≤ 0)

Explanation

The triangle lies above the x-axis (y ≥ 0), below the line 2y − x − 2 = 0 and to the left of y + 2x + 2 = 0. Testing the point (−1.4, 0.1) confirms both line expressions are negative there, matching option A.