\[\left\{ \begin{matrix} 7x - 3 \geq 2 \cdot (x - 6) \\ x + 5 \geq 3x - 11\ \ \ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} 7x - 3 \geq 2x - 12 \\ x + 5 \geq 3x - 11\ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\]
\[\left\{ \begin{matrix} 5x \geq - 9 \\ 2x \leq 16 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} x \geq - 1,8 \\ x \leq 8\ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]
\[Ответ:\lbrack - 1,8;8\rbrack.\]