Solve this inequality .

$\displaystyle

|x-2|<\frac{1}{x}

$

case 1 :

$\displaystyle -\frac{1}{x}<x-2$

i got $\displaystyle 0<x<1 $and $\displaystyle x>1$

case 2 : $\displaystyle x-2<\frac{1}{x}$

i got $\displaystyle x<-0.414 $or $\displaystyle 0<x<2.414$

How can i combine the results to get the solution set ?? THanks for your explaination .