$|x+2|\ge 0.001$ at wolfram alpha

Question

Shouldn't it be $x\ge -1.999$ and $x\le -2.001$? Why wolfram alpha says $x>-1.999$?

http://www.wolframalpha.com/input/?i=|x%2B2|%3E%3D0.001

Sorry by the stupid question

Answer 1

it must be $$x\leq -\frac{2001}{1000}\lor x\geq -\frac{1999}{1000}$$ it is equivalent to $$x^2+4x+4\geq \frac{1}{10^6}$$