\(\left\{{}\begin{matrix}\left|x+2\right|< 20\\\left|x-1\right|>3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\left\{{}\begin{matrix}x+2>-20\\x+2< 20\end{matrix}\right.\\\left[{}\begin{matrix}x-1>3\\x-1< -3\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\in\left(-22;18\right)\\x\in\left(-\infty;-2\right)\cup\left(4;+\infty\right)\end{matrix}\right.\Leftrightarrow x\in\left(-22;-2\right)\cup\left(4;18\right)\)