\[\left\{ \begin{matrix} 5x + 12 > 0 \\ 3x - 4 < 0\ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} 5x > - 12 \\ 3x < 4\ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} x > - 2,4 \\ x < 1\frac{1}{3}\text{\ \ \ } \\ \end{matrix} \right.\ \]
\[Ответ:\left( - 2,4;1\frac{1}{3} \right).\]