Answer
Please see the graph.
Work Step by Step
Green line: $x\ge-2$
Since we have the "greater than or equal to" sign, we use a solid line. Let's use the point $(0,0)$ to see what side of the line we shade.
$x\ge-2$
$0 \ge -2$ (true)
Since this is true, we shade the side of the line that has the point $(0,0)$.
Red line: $x\le1$
Since we have the "less than or equal to" sign, we use a solid line. Let's use the point $(0,0)$ to see what side of the line we shade.
$x\le1$
$0 \le 1$ (true)
Since this is true, we shade the side of the line that has the point $(0,0)$.
The intersection of the two lines is the area that is shaded red and green.