\[\boxed{\mathbf{1432}\mathbf{.}}\]
\[\left\{ \begin{matrix} - x - 19 < 6 - 3x\ \ \ \ \\ 34 - 13x < 10x - 4 \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} 2x < 25\ \ \\ 23x > 38 \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} x < 12\frac{1}{2} \\ x > 1\frac{15}{23} \\ \end{matrix} \right.\ \]
\[Ответ:\ \ x_{\min} = 2;\ \ x_{\max} = 12.\]