\[\frac{x^{2} - 6x + 11}{3x - 2} < 0\]
\[\frac{x^{2} - 6x + 9 + 2}{3x - 2}\]
\[\frac{(x - 3)^{2} + 2}{3x - 2} < 0\]
\[(x - 3)^{2} + 2 > 0\ \ \]
\[при\ любом\ x \in R;\]
\[\Longrightarrow 3x - 2 < 0 \Longrightarrow x < \frac{2}{3}\]
\[Ответ:\left( - \infty;\frac{2}{3} \right).\]