Решите неравенство: 3/4*(1/6 x-1/3)>3x-11 1/2.

Ответ:

\[\frac{3}{4} \cdot \left( \frac{1}{6}x - \frac{1}{3} \right) > 3x - 11\frac{1}{2}\]

\[\frac{1}{8}x - \frac{1}{4} > 3x - \frac{23}{2}\]

\[2\frac{7}{8}x < \frac{45}{4}\]

\[x < \frac{45 \cdot 8}{4 \cdot 25}\]

\[x < \frac{18}{5}\]

\[Ответ:( - \infty;3,6).\]