\(\left(5x+5\right)\left(2x-1\right)>0\)
\(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}5x+5>0\\2x-1>0\end{matrix}\right.\\\left\{{}\begin{matrix}5x+5< 0\\2x-1< 0\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x>-1\\x>\dfrac{1}{2}\end{matrix}\right.\\\left\{{}\begin{matrix}x< -1\\x< \dfrac{1}{2}\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x>\dfrac{1}{2}\\x< -1\end{matrix}\right.\)
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