Verified Answer :

\(-2\leq2x-4 < 4\ \ \ \ \ |add\ 4\\\\2\leq2x < 8\ \ \ \ |divide\ by\ 2\\\\1\leq x < 4\)

\(Answer:\boxed{1\leq x < 4\Rightarrow x\in(-\infty;\ 1]\ \cup\ (4;\ \ibfty)}\)

\(-2\ \textless \ 2x-4\ \textless \ 4\) 

\(-2+4\ \textless \ 2x\ \textless \ 4+4\)  \(| Add \ 4 \ to \ the \ whole \ equation|\) 

\(2\ \textless \ 2x\ \textless \ 8\) 

\(1\ \textless \ x\ \textless \ \dfrac{8}{2}\)   \(|Divide \ the \ whole \ equation \ by \ 2|\)

\(1\ \textless \ x\ \textless \ 4\)