Answer
Please see the graph.
Work Step by Step
Blue line: $y\le-3x+3$
Orange line: $y\ge x-5$
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:
$y\le-3x+3$
$0\le-3*0+3$
$0\le 0+3$
$0 \le 3$ (true, so we shade the left side of the line)
Orange line:
$y\ge x-5$
$0\ge 0-5$
$0\ge -5$ (true, so we shade the left side of the line)
The solution area is the overlap of the two inequalities.
