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Using the graph find the values of p and q if px + qy (geq)…

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 Answer: Option B
Explanation

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