If |x| < 2 =
-2 < x < 2
then,
|x| > 2 = ?

2. ## Re: absolute value

Originally Posted by joshuaa
If |x| < 2 =
-2 < x < 2
then, |x| > 2 = ?
$x>2\text{ or }x<-2$

Thanks

4. ## Re: absolute value

Or to put it in another way, if you know that |x| ≤ 2 means -2 ≤ x ≤ 2, then |x| > 2 must mean all (real values) for which |x| ≤ 2 does not hold, so... You could draw a (real) number line to see this better.