The graph of an inequality will show a shaded area indicating the region over which the inequality holds true. For a set of inequalities, the solution is the region over which all of the shaded regions of a graph overlap.

Your set of inequalities shows that (5,-2) is the only stated point which solves both of the inequalities.  The point (0,0) lies outside all shaded areas, the point(0,5) [not circled] solves y>-2x+3 and the point (0,-5) solves y<x-1 [shown].