SOLUTION: Why are there no real numbers that satisfy |x| < -1? Thanks!

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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.

Answer by Edwin McCravy(20054)   (Show Source): 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.

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