The graph below represents which system of inequalities? (2 points)

graph of two intersecting lines. one line is solid, and goes through the points 0, negative 2 and 1, 0 and is shaded in below the line. the other line is dashed, and goes through the points 0, 3, 3, 0 and is shaded in above the line.

group of answer choices

y > 2x − 3
y > −x − 3

y < 2x − 2

y < −x + 3

y ≤ 2x − 2
y > −x + 3

none of the above

Option C, y ≤ 2x − 2 and y > −x + 3

Step-by-step explanation:

If a line passes through two points, then the equation of line is

One line is solid, and goes through the points (0, -2) and (1, 0) and is shaded in below the line. The equation of related line is

Everything is to the below of the line is shaded and the related line is solid. So, the sign of inequality must be ≤.

The other line is dashed, and goes through the points (0, 3), (3, 0) and is shaded in above the line. The equation of related line is

Everything is to the above of the line is shaded and the related line is dashed. So, the sign of inequality must be >.

The system of inequity is

y ≤ 2x − 2

y > −x + 3

Therefore, correct option is C.