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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 [src]
  /   /   ___           \     /  ___            \\
Or\And\-\/ 2  < x, x < 0/, And\\/ 2  < x, x < oo//
$$\left(- \sqrt{2} < x \wedge x < 0\right) \vee \left(\sqrt{2} < x \wedge x < \infty\right)$$
((x < oo)∧(sqrt(2) < x))∨((x < 0)∧(-sqrt(2) < x))
Rapid solution 2 [src]
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(-\/ 2 , 0) U (\/ 2 , oo)
$$x\ in\ \left(- \sqrt{2}, 0\right) \cup \left(\sqrt{2}, \infty\right)$$
x in Union(Interval.open(-sqrt(2), 0), Interval.open(sqrt(2), oo))