Answer
Please see the graph.
Work Step by Step
Blue line: $y\ge-3$
Orange line: $x\le2$
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:
$y\geq-3$
$0\geq -3$ (true, so we shade above the line)
Orange line:
$x\le2$
$0\le2$ (true, so we shade the left side of the line)
The solution area is the overlap of the two inequalities.