Question

\(2x\left(x+5\right)>0\)

Answer 1

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