SOLUTION: Explain why the following expression is false: |x|

SOLUTION: Explain why the following expression is false: |x| < -4

Question 883745: Explain why the following expression is false: |x| < -4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Absolute value represents distance. Specifically the distance a number is from 0 on a number line.

So |x| is NEVER negative because you can't have negative distance. It makes no sense.

That means |x| is either 0 or positive. In other words, . So saying |x| < -4 is impossible and it's always false for any x value you pick.
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