SOLUTION: <pre>I need help with this problem: |-4x| + |-5| < 1</pre>

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Question 68530: 
I need help with this problem: 
|-4x| + |-5| < 1
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
I need help with this problem: 
|-4x| + |-5| < 1 

Rewrite |-5| as 5

|-4x| + 5 < 1

Add -5 to both sides

|-4x| < -4

There can be no solution because
every absolute value is nonnegative,
and no nonnegative number can be less
than -4, since they are all greater
than 0.

So the solution set is Ø, 
the null or empty set.
Edwin
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