\(\left|15x-1\right|>31\) \(\Leftrightarrow\left\{{}\begin{matrix}15x-1>31\\15x-1< -31\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}15x>32\\15x< -30\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x>\dfrac{32}{15}\\x< \dfrac{-30}{15}=-2\end{matrix}\right.\) vậy \(x>\dfrac{32}{15}\) hoặc \(x< -2\)