Answer
Please see the graph.
Work Step by Step
Red line: $x-y<2$
Blue line: $x+2y>-1$
Green line: $y<2$
Since we are using greater than and less than signs, the lines will be dotted. We pick the point $(0,0)$ to determine what sides of the lines to shade.
$x-y < 2$
$0-0 < 2$
$ 0 < 2$ (true, so we shade the side of the line with the point)
$x+2y>-1$
$0+2*0 > -1$
$0+0 > -1$
$0 > -1$ (true, so we shade the side of the line with the point)
$y<2$
$0 <2$ (true, so we shade the side of the line with the point)
The overlap of the three graphs is the solution to the system of inequalities.
