Решите систему неравенств: 14/(4x+1)>11/(4x+1); 12x+1<3x+11.

\[\left\{ \begin{matrix} \frac{14}{4x + 1} > \frac{11}{4x + 1}\text{\ \ \ \ \ } \\ 12x + 1 < 3x + 11 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} \frac{3}{4x + 1} > 0\ \ \\ 9x - 10 < 0 \\ \end{matrix}\ \right.\ \text{\ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} 4x + 1 > 0 \\ x < 1\frac{1}{9}\text{\ \ \ \ \ \ \ } \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\]

\[\left\{ \begin{matrix} x > - 0,25 \\ x < 1\frac{1}{9}\text{\ \ \ \ \ \ } \\ \end{matrix} \right.\ \]

\[Ответ:\left( - 0,25;\ 1\frac{1}{9} \right).\]