Answer
$ x\gt 5$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 2x-3\gt 7$
Add $3$ to each side.
$\Rightarrow 2x-3+3\gt 7+3$
Simplify.
$\Rightarrow 2x\gt 10$
Divide each side by $2$.
$\Rightarrow \frac{2x}{2}\gt \frac{10}{2}$
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.
