1. \(\Leftrightarrow2x+3< 0\Leftrightarrow x< -\frac{3}{2}\)
2. \(\Leftrightarrow\frac{7x-8}{x\left(x-2\right)}< 0\Leftrightarrow\left[{}\begin{matrix}x< 0\\\frac{8}{7}< x< 2\end{matrix}\right.\)
3. \(\Leftrightarrow\frac{4x-16}{\left(x+1\right)\left(x-3\right)}>0\Leftrightarrow\left[{}\begin{matrix}-1< x< 3\\x>4\end{matrix}\right.\)