\(\left|5x-3\right|\ge7\)
\(\Leftrightarrow\left[{}\begin{matrix}5x-3\ge7\\5x-3\le-7\end{matrix}\right.\)\(\Leftrightarrow\)\(\left[{}\begin{matrix}5x\ge10\\5x\le-4\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x\ge2\\x\le-\dfrac{4}{5}\end{matrix}\right.\)