\(\left(x-2\right)\left(3-x\right)>0\)
\(\Leftrightarrow\hept{\begin{cases}x-2>0\\3-x>0\end{cases}}\)hoặc \(\hept{\begin{cases}x-2< 0\\3-x< 0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x>2\\x< 3\end{cases}}\)hoặc \(\hept{\begin{cases}x< 2\\x>3\end{cases}\left(loai\right)}\)
\(\Leftrightarrow2< x< 3\)
Vậy\(2< x< 3\)
\(\left(x-2\right)\left(3-x\right)< 0\)
\(\Leftrightarrow\hept{\begin{cases}x-2< 0\\3-x>0\end{cases}}\)hoặc \(\hept{\begin{cases}x-2>0\\3-x< 0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x< 2\\x>3\end{cases}\left(loai\right)}\)hoặc \(\hept{\begin{cases}x>2\\x< 3\end{cases}}\)
\(\Leftrightarrow2< x< 3\)
Vậy \(2< x< 3\)
