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MATHEMATICS

JAMB 2002 - Question 13

Mathematics 2002 JAMB Past Questions - Question 13: use the graph above to find the value of p and q if px+qy ≤ 4.

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

A: p=2,q=1

B: p=2,q=-1

C: p=1,q=2

D: p=-1,q=2

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Correct Answer

Explanation

m = y2−y1/x2−x1 = 2−0/0−(4) = 2/4 = 1/2y2−y1/ x 2−x1 ≥ my − 0/x+4 ≥ 1/22y ≥ x + 4, -x + 2y ≥ 4 = px + qy ≥ 4p = -1, q = 2