\[\left\{ \begin{matrix} 2x - 3 > 0 \\ 7x + 4 > 0 \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} 2x > 3\ \ \ \ \\ 7x > - 4 \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} x > 1,5\ \\ x > - \frac{4}{7} \\ \end{matrix} \right.\ \]
\[Ответ:x > 1,5.\]