Answer
Please see the graph.
Work Step by Step
Red line: $y\ge x-3$
Blue line: $y\ge-1-x$
Let's use the point $(0,0)$ to determine what sides of the lines to shade.
Red line: $y\ge x-3$
$y\ge x-3$
$0\ge 0-3$
$0 \ge -3$ (true)
This is true, so we shade the side of the line that has the point.
Blue line: $y\ge-1-x$
$y\ge-1-x$
$0\ge-1-0$
$0 \ge -1$ (true)
This is true, so we shade the side of the line that has the point.
The solution area for the system on inequalities is the area that is shaded both blue and red.
