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1/(1-x^2)>0 inequation

A inequation with variable

The solution

You have entered [src]
  1       
------ > 0
     2    
1 - x     
$$\frac{1}{1 - x^{2}} > 0$$
1/(1 - x^2) > 0
Detail solution
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
Solving inequality on a graph
Rapid solution [src]
And(-1 < x, x < 1)
$$-1 < x \wedge x < 1$$
(-1 < x)∧(x < 1)
Rapid solution 2 [src]
(-1, 1)
$$x\ in\ \left(-1, 1\right)$$
x in Interval.open(-1, 1)