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