Answer
Please see the graph.
Work Step by Step
The green line is the graph $x-y\lt -1$ and has a dotted line since it has a less than sign. The blue line is the graph $4x-3y>0$ and has a dotted line since it has a greater than sign. The orange line is the graph $y>0$ and has a dotted line since it has a greater than sign.
We also pick the point $(0,2)$ to determine what sides of the graphs to shade.
$(0,2)$
$x-y\lt -1$
$0-2\lt -1$
$-2 \lt -1$ (true, so we shade the side of the graph with the point)
$(0,2)$
$4x-3y>0$
$4*0-3*2>0$
$0-6 >0$
$-6 > 0$ (false, so we shade the side of the graph without the point)
$(0,2)$
$y >0$
$2 > 0$ (true, so we shade the side of the graph with the point)
The overlap of the graphs is the solution set.
