Answer
$-5 \lt x \lt 2$
$\\\\$See attached image for the graph.
Work Step by Step
Solve each inequality:
$\begin{array}{LCR}
2x \gt -10 \text{ and } 9x \lt 18
\\x \gt -5 \text{ and } x \lt 2.
\end{array}$
$\\\\$Graph both inequalities and take their intersection. (Please see attached images.)