Answer
Please see the graph.
Work Step by Step
Red line: $y\ge2x-3$
Blue line: $y\le-2x+1$
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:
$y\ge2x-3$
$0\ge 2*0-3$
$0 \ge 0-3$
$0\ge -3$ (true, so we shade the left side of the line)
Blue line:
$y\le-2x+1$
$0 \le -2*0+1$
$0\le 0+1$
$0 \le1$ (true, so we shade the left side of the line)
The solution area is the overlap of the two inequalities.
