Question

he linear inequality y < -
2
3
x + 2 is graphed. Determine a solution for the inequality.
A) (0, 2)
B) (3, 0)
C) (0, 0)
D) (0, 3)

Answer 1

The answer is C. (0, 0)

Answer 2

Solution of inequality is determined by the fact that if the given point is in the shaded region of the graph or not .  Dotted line in the graph shows that any point on that dotted line is not part of the solution . So here all those options which have the points in the shaded region but not on the line are solutions .

Therefore only C (0,0) is the correct option .

Check the image attached for better picture of what is explained.