Answer
Please see the graph.
Work Step by Step
Blue line: $y>x+2$
Orange line: $y\le2x+1$
To determine what sides of the lines to shade, we use a point not on the line. We can use (0,0) for the lines.
Blue line:
$y\gt x+2$
$0\gt 0 +2$
$0\gt 2$ (false, so we shade the left side of the line)
Orange line:
$y\leq2x+1$
$0\leq 2*0+1$
$0 \leq 0+1$
$0 \leq 1$ (true, so we shade the right side of the line)
The solution area is the overlap of the two inequalities.
