Решите систему неравенств: 7x-2>13; 5-2x<8; 6x-5>3.

\[\left\{ \begin{matrix} 7x - 2 > 13 \\ 5 - 2x < 8\ \ \\ 6x - 5 > 3\ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} 7x > 15\ \\ 2x > - 3 \\ 6x > 8\ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} x > 2\frac{1}{7}\text{\ \ \ \ } \\ x > - 1,5 \\ x > \frac{4}{3}\text{\ \ \ \ \ \ } \\ \end{matrix} \right.\ \]

\[Ответ:\left( 2\frac{1}{7};\ + \infty \right).\]