Answer
Please see the graph.
Work Step by Step
Red line: $x\ge -3$
Blue line: $y\ge -2$
Let's use the point $(0,0)$ to determine what sides of the lines to shade.
Red line: $x\ge -3$
$0\ge -3$ (true)
This is true, so we shade the side of the line that does have the point. The inequality has the "greater than or equal sign" sign, so we use a solid line.
Blue line: $y\ge -2$
$y\ge -2$
$0 \ge -2$ (true)
This is true, so we shade the side of the line that does have the point. The inequality has the "greater than or equal" sign, so we use a solid line.
The solution area for the system on inequalities is the area that is shaded both blue and red.