\[\left\{ \begin{matrix} 2x + 11 > 5x - 4 \\ 5x + 6 < x - 2\ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} - 3x > - 15 \\ 4x < - 8\ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} x < 5\ \ \ \ \\ x < - 2 \\ \end{matrix} \right.\ \]
\[Ответ:( - \infty; - 2).\]