The y intercept for the solid line is -2 and the slope is 2, meaning each point is 2 units up and 1 unit to the right of the point before it.
y = 2x - 2
0 = -2
Zero is greater than negative 2, so the equation is y > 2x - 2
However, this is when the shading comes into play, which I forgot to mention before. We assume that the yellow shading is for the solid line only, and the green shading is where the shaded area of both of the lines overlap. Since the shading for the solid line is on the side that does not include the 0, the equation must be changed to y < 2x -2.
As for the dashed line
y < -x + 3
0 = 3
Since the shaded part is on the side of the line not including the 0, we switch the sign. The equation becomes y > -x +3.
Sorry for my mistake earlier, I forgot that the picture included shading. So the answer is C.