#### Answer

See the graph

#### Work Step by Step

We are given
$2x-y \gt 0$
$ \rightarrow y \lt 2x$
$3x+2y \leq -14$
$\rightarrow 2y \leq -3x -14$
$\rightarrow y \leq -\frac{3}{2}x-7$
Graph the boundary lines $y \lt 2x$ and $y \leq -\frac{3}{2}x-7$.
For $y \lt 2x$, use a dashed boundary line and shade below it. For $y \leq -\frac{3}{2}x-7$, use a solid boundary line and shade above it.
The bold pink region of overlap contains the system’s solutions.