Решите неравенство: 5/6*(1/3 x-1/5)>=3x+3 1/3.

Ответ:

\[\frac{5}{6} \cdot \left( \frac{1}{3}x - \frac{1}{5} \right) \geq 3x + 3\frac{1}{3}\]

\[\frac{5}{18}x - \frac{1}{6} \geq 3x + \frac{10}{3}\]

\[- \frac{49}{18}x \geq \frac{7}{2}\]

\[x \leq - \frac{7 \cdot 18}{2 \cdot 49}\]

\[x \leq - \frac{9}{7}\]

\[Ответ:\left( - \infty;\ - 1\frac{2}{7} \right\rbrack.\]