What system of linear inequalities is shown in the graph? I got, y < 2x -3 and y >= -1/2x + 2 (>= is greater then or equal to sign)

Can someone confirm that my answers are correct

The equations of the lines are correct.
To test the shading test any point in the shaded area
Using the point (3, 1) let’s substitute for x and y in both inequalities:
1 < 2 x 3 - 3 is true
1 >= -1/2 x 3 + 2 = 1/2 is true
Therefore your equations also correctly describe the shading.

I guess we should also test points in the other three regions but they will fail in one or both inequalities.