Решите систему неравенств: 3(x+1)-(x-2)<x; 2>5x-(2x-1).

\[\left\{ \begin{matrix} 3(x + 1) - (x - 2) < x \\ 2 > 5x - (2x - 1)\text{\ \ \ \ \ \ \ \ \ } \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} 3x + 3 - x + 2 - x < 0 \\ 2 > 5x - 2x + 1\ \ \ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\left\{ \begin{matrix} x < - 5 \\ 3x < 1 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} x < - 5 \\ x < \frac{1}{3}\text{\ \ \ } \\ \end{matrix} \right.\ \ \]

\[Ответ:x < - 5.\ \]