SOLUTION: Explain why the absolute value inequality |2c-5| + 9 < 4 has no solution.

Algebra ->  Inequalities -> SOLUTION: Explain why the absolute value inequality |2c-5| + 9 < 4 has no solution.       Log On


   



Question 354434: Explain why the absolute value inequality |2c-5| + 9 < 4 has no solution.
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!

Subtract 9 from both sides:

 |2c-5| + 9 <  4
        - 9   -9
----------------
 |2c-5|     < -5

No absolute values can ever be negative, and to be less
than -5 it would have to be negative.  So there is no solution. 

Edwin