Sketch the graph of the solution set of each system of inequalities.
y<2x-1 and y>x^2-2x+2

The first inequality would be a line if the "<" were an "=" sign. You can draw the line and then figure out which side of the line qualifies for the "<" sign.

The second inquality would be a quadratic equation. You can do the same thing with that, though it's a bit harder to draw than a line. The area of the graph where the two regions intersect is the graph of the two inequalities.