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 $3x - y - 9 \lt 0$
$-y \lt -3x + 9$
$y \gt 3x - 9$
Graph $y =3x - 9$ with a dashed line.
Since it is $\gt$, then the shading will be below the graph.
See graph below.
