$|2x-1|>\left|-\dfrac34\right|$
\(⇔ \left[ \begin{array}{l}2x-1>\dfrac34\\2x-1>-\dfrac34\end{array} \right.\)
\(⇔ \left[ \begin{array}{l}2x>\dfrac74\\2x>\dfrac14\end{array} \right.\)
\(⇔ \left[ \begin{array}{l}x>\dfrac78\\x>\dfrac18\end{array} \right.\)