Use the graph above to find the values of p and q if px + qy \(\geq\) 4
Attached Figure / Diagram
A
p = 2, q = -1
B
p = -1, q = 2
C
p = 2, q = 2
D
p = 1, q = 2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: WAEC / JAMB / NECO Classroom Archive (Record #33102)