Answer
Please see the graph.
Work Step by Step
Blue line: $y<3x-4$
Orange line: $y\le x+2$
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:
$y \lt 3x-4$
$0 \lt 3*0-4$
$0 \lt -4$ (false, so we shade the right side of the line)
Orange line:
$y \leq x+2$
$0 \leq 0+2$
$0 \leq 2$ (true, so we shade the right side of the line)
The solution area is the overlap of the two inequalities.
