Question

$$\left. \begin{array} { l } { \frac { 3 x + 8 } { x - 1 } \lt - 2 } \\ { u \leq \frac { 4 } { u - 3 } | } \\ { \frac { t ^ { 3 } - 6 t ^ { 2 } } { t - 2 } \gt 0 } \end{array} \right.$$

Solve for x

$x\in \left(-\frac{6}{5},1\right)$
$\left(t>6\text{ and }u\leq -1\right)\text{ or }\left(u\leq -1\text{ and }t\neq 0\text{ and }t<2\right)\text{ or }\left(u\leq 4\text{ and }u>3\text{ and }t>6\right)\text{ or }\left(u\leq 4\text{ and }u>3\text{ and }t\neq 0\text{ and }t<2\right)$

Solve for u

$u\in (-\infty,-1]\cup (3,4]\text{, }(x>-\frac{6}{5}\text{ and }x<1\text{ and }t>6)\text{ or }(x>-\frac{6}{5}\text{ and }x<1\text{ and }t\neq 0\text{ and }t<2)$