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JAMB Mathematics 1998 Question 18

Question 18

Inequalities

The shaded area above represents

Diagram for this question
  1. A.x ≥ 0, 3y + 2x ≥ 6
  2. B.x ≥ 0, y ≥ 3, 3x + 2y ≥ 6
  3. C.x ≥ 2, y ≥ 0, 3x + 2y ≥ 6
  4. D.x ≥ 0, y ≥ 0, 3x + 2y ≥ 6
Show the answer and explanation

Answer: D (x ≥ 0, y ≥ 0, 3x + 2y ≥ 6)

Explanation

The line through (0, 3) and (2, 0) is 3x + 2y = 6. The shading is above this line and in the first quadrant, so x ≥ 0, y ≥ 0 and 3x + 2y ≥ 6.