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Solving inequalities/ x>1/(x-1)

x>1/(x-1) inequation

A inequation with variable

The solution

You have entered [src] 
      1  
x > -----
    x - 1
$$x > \frac{1}{x - 1}$$ 
x > 1/(x - 1)
Solving inequality on a graph
Rapid solution [src] 
  /   /             ___    \        ___    \
  |   |       1   \/ 5     |  1   \/ 5     |
Or|And|x < 1, - - ----- < x|, - + ----- < x|
  \   \       2     2      /  2     2      /
$$\left(x < 1 \wedge \frac{1}{2} - \frac{\sqrt{5}}{2} < x\right) \vee \frac{1}{2} + \frac{\sqrt{5}}{2} < x$$ 
(1/2 + sqrt(5)/2 < x)∨((x < 1)∧(1/2 - sqrt(5)/2 < x))
Rapid solution 2 [src] 
       ___              ___     
 1   \/ 5         1   \/ 5      
(- - -----, 1) U (- + -----, oo)
 2     2          2     2
$$x\ in\ \left(\frac{1}{2} - \frac{\sqrt{5}}{2}, 1\right) \cup \left(\frac{1}{2} + \frac{\sqrt{5}}{2}, \infty\right)$$ 
x in Union(Interval.open(1/2 - sqrt(5)/2, 1), Interval.open(1/2 + sqrt(5)/2, oo))
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