Answer
$ x\gt 5$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 3x-4 \gt 11$
Add $4$ to each side.
$\Rightarrow 3x-4+4 \gt 11+4$
Simplify.
$\Rightarrow 3x \gt 15$
Divide each side by $3$.
$\Rightarrow \frac{3x}{3}\gt \frac{15}{3}$
Simplify.
$\Rightarrow x\gt 5$
Hence, the solution is $ x\gt 5$.
Use an open circle because $5$ is not a solution.
Shade the number line on the right side.
