Решите неравенство: |11-4x|>6.

\[|11 - 4x| > 6\]

\[11 - 4x < - 6\ \ или\ \ 11 - 4x > 6\]

\[4x > 17\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4x < 5\]

\[x > 4\frac{1}{4}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x < 1\frac{1}{4}\]

\[Ответ:\left( - \infty;\ \ 1\frac{1}{4} \right) \cup \left( 4\frac{1}{4};\ + \infty \right).\]