Решите систему неравенств

Решите задачу:

$\left \{ {{(x^2-6x+9)(2x-10)\ \textless \ 0} \atop {6+x(7-x)\ \textless \ x^2+2x(5-x)}} \right. \; \left \{ {{2(x-3)^2(x-5)\ \textless \ 0} \atop {6+7x-x^2\ \textless \ x^2+10x-2x^2}} \right. \; \left \{ {{(x-3)^2(x-5)\ \textless \ 0} \atop {3x\ \textgreater \ 6}} \right. \\\\(x-3)^2(x-5)\ \textless \ 0\quad ---(3)---(5)+++\\\\x\in (-\infty ,5)\\\\3x\ \textgreater \ 6\; ,\; \; x\ \textgreater \ 2\; ,\; \; x\in (2,+\infty )\\\\ \left \{ {{x\in (-\infty ,5)} \atop {x\in (2,+\infty )}} \right. \quad \Rightarrow \; \; \; x\in (2,5)$