The shaded area represents
-
A.
x (leq) 0, y (leq) 0, 2y + 3x (leq) 6 -
B.
x (geq) 0, y (geq) 3, 3x + 2y (geq) 6 -
C.
x (geq) 2, y (geq) 0, 3x + 2y (leq) 6 -
D.
x (geq) 0, y (geq) 0, 3x + 2y (geq) 6
Correct Answer: Option A
Explanation
m = (frac{y_2 – y_1}{x_2 – x_2} = frac{3 – 0}{0 – 2} = frac{-3}{2})
= (frac{y – y_1}{x- x_1})
m = (frac{y – 3}{x}) (geq) (frac{-3}{2})
2(y – 3) (geq) – 3x = 2y – 6 (geq) – 3x
= 2y + 3x (leq) 6 ; x (leq) 0, y (leq) 0