\(\left(x-2\right)\left(5-x\right)>0\)
\(\Rightarrow\left\{{}\begin{matrix}x-2>0\\5-x>0\end{matrix}\right.\) hoặc \(\left\{{}\begin{matrix}x-2< 0\\5-x< 0\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x>2\\x< 5\end{matrix}\right.\)\(\Rightarrow2< x< 5\) hoặc \(\left\{{}\begin{matrix}x< 2\\x>5\end{matrix}\right.\) (vô lí)
Vậy 2 < x < 5