\[\left\{ \begin{matrix} x + 2 \geq 17 - 2x \\ 9 - 5x < 24\ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} x + 2x \geq 17 - 2 \\ - 5x < 24 - 9\ \ \ \ \ \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} 3x \geq 15\ \ \ \\ - 5x < 15 \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} x \geq 5\ \ \ \ \\ x > - 3 \\ \end{matrix} \right.\ \]
\[x \geq 5.\]
\[Ответ:x \geq 5.\]