Question:
$\frac{4 x+3}{2 x-5}<6$
Solution:
$\frac{4 x+3}{2 x-5}<6$
$\Rightarrow \frac{4 x+3}{2 x-5}-6<0$
$\Rightarrow \frac{4 x+3-6(2 x-5)}{2 x-5}<0$
$\Rightarrow \frac{4 x+3-12 x+30}{2 x-5}<0$
$\Rightarrow \frac{-8 x+33}{2 x-5}<0$
$\Rightarrow \frac{8 x-33}{2 x-5}>0$
$x \in\left(-\infty, \frac{5}{2}\right) \cup\left(\frac{33}{8}, \infty\right)$