Answer
$x\gt -4$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow \frac{x}{2}\gt -2$
Multiply each side by $2$.
$\Rightarrow 2\cdot \frac{x}{2}\gt 2\cdot (-2)$
Simplify.
$\Rightarrow x\gt -4$
Hence, the solution is $x\gt -4$.
Use an open circle because $-4$ is not a solution.
Shade the number line on the right side.
