The graph below represents which system of inequalities?

a. y ≤ −2x + 3
y ≤ x + 3

b. y ≥ −2x + 3
y ≥ x + 3

c. y ≤ −3x + 2
y ≤ −x + 2

d. y > −2x + 3
y > x + 3

The answer cannot be D because the solid line means less than or equal too, or more than or equal too. A dashed line means less than or more than.

The answer also cannot be B because a more than or equal too means the shading would be above the line. The shading cannot be above the line because then the shading would not overlap as it does on the graph.

And the answer cannot be C because on the graph the y-intercept is 3, and the equations y-intercept 2.

This leaving you your only option, A.

Hope this helps!
Correct me if Im wrong!