Answer
See graph below.
Work Step by Step
The question asks to only graph the inequality.
Here are some criteria for graphing inequalities:
1. If it is $\lt$ or $\gt$, then the graph must be dashed.
2. If it is $\leq$ or $ \geq$, then the graph must be solid.
3. If it is $\lt$ or $\leq$ (with y being isolated), then the shading is below, left, or inside the graph.
4. If it is $\gt$ or $\geq$ (with y being isolated), then the shading is above, right, or outside the graph.
Given $5x + 2y \gt 8$
$2y \gt 8 - 5x $
$y \gt 4 - 5/2 x$
Graph $y = 4 - 5/2 x$ with a dashed line.
Since it is $\gt$, then the shading will be above the graph.
See graph below.
