Answer
Please see the graph.
Work Step by Step
Red line: $y\le-3x-3$
Blue line: $y\le2x+7$
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.
Red line:
$y\le-3x-3$
$0 \le -3*0-3$
$0\le 0-3$
$0\le -3$ (false, so we shade the left side of the line)
Blue line:
$y\le2x+7$
$0\le2*0+7$
$0\le0+7$
$0\le 7$ (true, so we shade the right side of the line)
The solution area is the overlap of the two inequalities.
