Given the inequality:
$$\frac{1}{1 - x^{2}} > 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{1}{1 - x^{2}} = 0$$
Solve:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
x0 = 0
$$\frac{1}{1 - 0^{2}} > 0$$
1 > 0
so the inequality is always executed