\(\Leftrightarrow m^2-2m-3>0\Leftrightarrow\left(m-3\right)\left(m+1\right)>0\\ \Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}m-3>0\\m+1>0\end{matrix}\right.\\\left\{{}\begin{matrix}m-3< 0\\m+1< 0\end{matrix}\right.\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}m>3\\m< -1\end{matrix}\right.\)