Answer
Please see the graph.
Work Step by Step
Blue line: $y\ge x-3$
Orange line: $y\ge-1-x$
To determine what sides of the lines to shade, we use a point not on the line. We can use (0,0) for both lines.
Blue line:
$y≥x-3$
$0≥0-3$
$0≥-3$ (true, so we shade above the line)
Orange line:
$y≥-1−x$
$0≥-1−0$
$0≥-1$ (true, so we shade the right side of the line)
The solution area is the area where both inequalities overlap.
