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x/(x^2+2)<1/(2*x) inequation

A inequation with variable

The solution

You have entered [src]
  x       1 
------ < ---
 2       2*x
x  + 2      
$$\frac{x}{x^{2} + 2} < \frac{1}{2 x}$$
x/(x^2 + 2) < 1/(2*x)
Solving inequality on a graph
Rapid solution 2 [src]
         ___          ___ 
(-oo, -\/ 2 ) U (0, \/ 2 )
$$x\ in\ \left(-\infty, - \sqrt{2}\right) \cup \left(0, \sqrt{2}\right)$$
x in Union(Interval.open(-oo, -sqrt(2)), Interval.open(0, sqrt(2)))
Rapid solution [src]
  /   /                ___\     /             ___\\
Or\And\-oo < x, x < -\/ 2 /, And\0 < x, x < \/ 2 //
$$\left(-\infty < x \wedge x < - \sqrt{2}\right) \vee \left(0 < x \wedge x < \sqrt{2}\right)$$
((0 < x)∧(x < sqrt(2)))∨((-oo < x)∧(x < -sqrt(2)))