\(a,\Leftrightarrow x+9< 0\left(-5< 0\right)\Leftrightarrow x< -9\\ b,\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}2x+3>0\\2x-5>0\end{matrix}\right.\\\left\{{}\begin{matrix}2x+3< 0\\2x-5< 0\end{matrix}\right.\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x>\dfrac{5}{2}\\x< -\dfrac{3}{2}\end{matrix}\right.\\ c,\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x+5>0\\x-9>0\end{matrix}\right.\\\left\{{}\begin{matrix}x+5< 0\\x-9< 0\end{matrix}\right.\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x>9\\x< -5\end{matrix}\right.\\ d,\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x-\dfrac{1}{4}>0\\x+\dfrac{2}{3}>0\end{matrix}\right.\\\left\{{}\begin{matrix}x-\dfrac{1}{4}< 0\\x+\dfrac{2}{3}< 0\end{matrix}\right.\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x>\dfrac{1}{4}\\x< -\dfrac{2}{3}\end{matrix}\right.\)
