Solve $|1 + x| < 1$ I'm trying to solve $|1 + x| < 1$. The answer should be $ -2 < x < 0$ which wolframalpha.com agrees with.
My approach is to devide the equation to:
$1+x < 1$ and $1-x < 1$ and then solve those two:
$ 1+x < 1 $
$ x < 0 $
$ 1 - x < 1$
$ -x < 0$
$x > 0$
And this gives me $ x = 0$. Where am I going wrong?

$|x-(-1)|<1$ says the distance between $x$ and $-1$ needs to be less than $1$. So $x$ is in $(-2,0)$. With practice, you can do these kinds of problems without step-by-step algebra.
