2002
Mathematics
67ca00ce0c643c71d77dee1f
Use the graph find the values of p and q if px + qy ≥ 4
A.
p = 2, q = -1
B.
p = -1, q = 2
C.
p = 2, q = 2
D.
p = 1, q = 2
Correct Answer: p = -1, q = 2
Explanation
m =( y2−y1)/ (x2−x1) = 2−0/0−(4) = 2/4 = 1/2 (y2−y1)/x2− x1 ≥ m (y−0)/(x+4) ≥ 1/2 2y ≥ x + 4, -x + 2y ≥ 4 = px + qy ≥ 4 p = -1, q = 2
m =( y2−y1)/ (x2−x1) = 2−0/0−(4) = 2/4 = 1/2 (y2−y1)/x2− x1 ≥ m (y−0)/(x+4) ≥ 1/2 2y ≥ x + 4, -x + 2y ≥ 4 = px + qy ≥ 4 p = -1, q = 2THIS WEEK's
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