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Using the graph find the values of p and q if p... - JAMB Mathematics 2002 Question

Using the graph find the values of p and q if px + qy \(\geq\) 4
A
p = 2, q = -1
B
p = -1, q = 2
C
p = 2, q = 2
D
p = 1, q = 2
correct option: b
m = \(\frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{0 - (4)} = \frac{2}{4} = \frac{1}{2}\)

\(\frac{y_2 - y_1}{x_2 - x_1} \geq m\)

\(\frac{y - 0}{x + 4} \geq \frac{1}{2}\)

2y \(\geq\) x + 4, -x + 2y \(\geq\) 4 = px + qy \(\geq\) 4

p = -1, q = 2
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