Which point is a solution to this system of inequalities?
y < 1/2x – 3
y + 2x > 6

  C. (5, -2)

Step-by-step explanation:

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

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: