\(1< \left|x-2\right|< 4\\ \Leftrightarrow\left|x-2\right|\in\left\{2;3\right\}\)
với | x - 2 | = 2
thì \(\left[{}\begin{matrix}x-2=2\\x-2=-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=0\end{matrix}\right.\)
với | x - 2 | = 3 thì
\(\left[{}\begin{matrix}x-2=3\\x-2=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-1\end{matrix}\right.\)
vậy \(x\in\left\{-1;0;4;5\right\}\)