\(\left(x+5\right)\left(x-1\right)>0.\)
\(\Rightarrow x+5\) và \(x-1\) cùng dấu.
\(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x+5>0\\x-1>0\end{matrix}\right.\\\left\{{}\begin{matrix}x+5< 0\\x-1< 0\end{matrix}\right.\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x>-5\\x>1\end{matrix}\right.\\\left\{{}\begin{matrix}x< -5\\x< 1\end{matrix}\right.\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x>1\\x< -5\end{matrix}\right..\)
Vậy--..