\(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}2x-3< 0\\x^2-2x-3\ge0\end{matrix}\right.\\\left\{{}\begin{matrix}2x-3\ge0\\x^2-2x-3\ge\left(2x-3\right)^2\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x< \dfrac{3}{2}\\\left[{}\begin{matrix}x\le-1\\x\ge3\end{matrix}\right.\end{matrix}\right.\\\left\{{}\begin{matrix}x\ge\dfrac{3}{2}\\3x^2-10x+12\le\left(vô-nghiệm\right)\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow x\le-1\)