Solve

The area highlighted in
light blue is the area where all of these areas intersect. x≥-1 is the
entire area to the right of the line x=-1. x+y≤2 is the entire area under
the line y=x-2. x^{2}-2x-y≤0 is the entire area inside the
parabola y=(x-1)^{2}-1, therefore the third graph is the one that shows
the accurate solution set.

Note: the vertices of the region are (-1, 3) and (2, 0).