Solve For X

wisezeta · #1 $Old$ November 6th, 2009, 10:46 AM

|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.

Joschua · #2 $Old$ November 6th, 2009, 11:33 AM

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

bigwave · #3 $Old$ November 6th, 2009, 11:46 AM

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

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