# Math Help - Solve For X

1. ## Solve For X

|1+(1/x)|<2

I know that the range of x is greater than 1 but less than 0 but can't figure out how to prove it mathematically.

2. Hi,

are you sure that it is not less equal two? I guess it should be a $\leq$ instead of a $<$

I guess you should use the triangle inequality for the right path

3. transform into an equivlent double inequality and solve
$-2\ <\ 1 + \frac{1}{x} \ < 2$

$- \frac{1}{3} \ > \ x \ > 1$