Question 465131: Why are there no real numbers that satisfy |x| < -1?
Thanks! Found 2 solutions by robertb, Edwin McCravy:Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! Because an absolute value is always non-negative, and so can't be less than a negative number.
You can put this solution on YOUR website! Because any number less than -1 is negative, but the absolute value of any real number represented by |x|, is never negative, regardless of what real number x is.