Question

Solve the following inequations
$\frac{x-2}{x^2-9}<0$

Answer 1

i) $\frac{x-2}{x^2-9}⟨0$

$\frac{x-2}{(x-3)(x+3)}⟨0$

From Figure 1, $x\in (-\infty ,-3)\cup (2,3)$