\[\left\{ \begin{matrix}
7x + 8 > 0 \\
2x - 7 < 0 \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix}
7x > - 8 \\
2x < 7\ \ \ \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix}
x > - 1\frac{1}{7} \\
x < 3,5\ \ \ \ \\
\end{matrix} \right.\ \]

\[Ответ:\ \ \left( - 1\frac{1}{7};3,5 \right).\]