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sqrt(x)<1/(2-x) inequation

A inequation with variable

The solution

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$$\sqrt{x} < \frac{1}{2 - x}$$
sqrt(x) < 1/(2 - x)
Solving inequality on a graph
Rapid solution [src]
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Or|And|0 <= x, x < - - -----|, And(1 < x, x < 2)|
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$$\left(0 \leq x \wedge x < \frac{3}{2} - \frac{\sqrt{5}}{2}\right) \vee \left(1 < x \wedge x < 2\right)$$
((1 < x)∧(x < 2))∨((0 <= x)∧(x < 3/2 - sqrt(5)/2))
Rapid solution 2 [src]
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[0, - - -----) U (1, 2)
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$$x\ in\ \left[0, \frac{3}{2} - \frac{\sqrt{5}}{2}\right) \cup \left(1, 2\right)$$
x in Union(Interval.Ropen(0, 3/2 - sqrt(5)/2), Interval.open(1, 2))