First thing is to work out points on the 2 lines y = -x - 3 and y = 4x + 2
so for the first one one point would be x = 0 and y = -0 - 3 = -3
The first inequality is > so you would draw a dashed line and the second is ≤ so it would be a continuous line.
Finally you shade the area between the 2 lines The shading would be above the first line and below the second line.