\(\frac{3}{\left|2x-2\right|}\ge\frac{1}{2}\Leftrightarrow\left\{{}\begin{matrix}x\ne1\\\left|2x-2\right|\le6\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\ne1\\-3\le x-1\le3\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x\ne1\\-2\le x\le4\end{matrix}\right.\)
\(F=\left\{-2;-1;0;2;3;4\right\}\)