Answer
Please see the graph.
Work Step by Step
Blue line: $y\ge-x-5$
Orange line: $y\le2x+4$
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:
$y\ge-x-5$
$0\ge-1*0-5$
$0\ge-5$ (true, so we shade the right side of the line)
Orange line:
$y\le2x+4$
$0\le2*0+4$
$0\le0+4$
$0\le 4$ (true, so we shade the right side of the line)
The solution area is the overlap of the two inequalities.
