Không biết đề nên đoán mò:
Tìm x để \(\left(x-1\right)\left(5-x\right)>0\)
Để \(\left(x-1\right)\left(5-x\right)>0\) \(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x-1>0\\5-x>0\end{matrix}\right.\\\left\{{}\begin{matrix}x-1< 0\\5-x< 0\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x>1\\x< 5\end{matrix}\right.\\\left\{{}\begin{matrix}x< 1\\x>5\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}1< x< 5\\5< x< 1\end{matrix}\right.\)
\(\Leftrightarrow1< x< 5\)
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