Answer: C. (5, -2)
<u>Step-by-step explanation:</u>
Graph each equation:
Equation 1: y < (1/2)x - 3 --> m = (1/2) b = -3, dashed line, shaded below
Equation 2: y > -2x + 6 --> m = -2 b = 6, dashed line, shaded above
or plug the values into the equations. It must be TRUE for both equations:
y < (1/2)x - 3 y > -2x + 6
(7, -8) True False
(2, -3) True False
(5, -2) True True <-- This works!
(4, 1) False True