Решите неравенство: (x^2-6x+11)/(3x-2)<0.

\[\frac{x^{2} - 6x + 11}{3x - 2} < 0\]

\[\frac{x^{2} - 6x + 9 + 2}{3x - 2}\]

\[\frac{(x - 3)^{2} + 2}{3x - 2} < 0\]

\[(x - 3)^{2} + 2 > 0\ \ \]

\[при\ любом\ x \in R;\]

\[\Longrightarrow 3x - 2 < 0 \Longrightarrow x < \frac{2}{3}\]

\[Ответ:\left( - \infty;\frac{2}{3} \right).\]