\(\left(2x-1\right)x>0\)
\(\Leftrightarrow\hept{\begin{cases}x>0\\2x-1>0\end{cases}}\)hoặc \(\hept{\begin{cases}x< 0\\2x-1< 0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x>0\\x>\frac{1}{2}\end{cases}}\)hoặc \(\hept{\begin{cases}x< 0\\x< \frac{1}{2}\end{cases}}\)
\(\Leftrightarrow x>\frac{1}{2}\)hoặc \(x< 0\).