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JAMB Mathematics 2002 Question 13

Question 13

Inequalities

Use the graph above to find the values of p and q if px + qy ≤ 4.

Diagram for this question
  1. A.p = 2, q = 1
  2. B.p = 2, q = −1
  3. C.p = 1, q = 2
  4. D.p = −1, q = 2
Show the answer and explanation

Answer: D (p = −1, q = 2)

Explanation

The boundary passes through (−4, 0) and (0, 2), so it is y = x/2 + 2, i.e. −x + 2y = 4. The shaded side is below the line, so −x + 2y ≤ 4, giving p = −1, q = 2.