\[\left\{ \begin{matrix} (x + 4)(x - 5) > 0 \\ \frac{x + 6}{x - 7} < 0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]
\[Ответ:( - 6; - 4) \cup (5;7).\]