Solve the following

Question:

$\frac{2 x-3}{3 x-7}>0$

Solution:

$\frac{2 x-3}{3 x-7}>0$

Equating $2 x-3$ and $3 x-7$ to zero, we obtain $x=\frac{3}{2}, \frac{7}{3}$ as the critical points.

$\therefore x \in\left(-\infty, \frac{3}{2}\right) \cup\left(\frac{7}{3}, \infty\right)$

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