Please solve each absolute value inequality and graph the 

solution set. Please help!! 

   |3x - 7| > -3 

Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
 
Please solve each absolute value inequality and graph the 
solution set. Please help!! 
 |3x - 7| > -3

=====================================

That's a tricky problem!  Watch out for those.  You don't
try to solve it!  You reason out the solution set using the
fact that:

All absolute values
are either positive
or zero!!!!!

|3x - 7| is an absolute value so it is always either positive 
or zero.

Now any positive number or 0 is certainly greater than -3,
right?

Therefore no matter what value x takes on, |3x - 7| will 
ALWAYS be greater than -3.

Therefore x can be any real number, which means the solution 
set is the entire number line shaded:

-oo   <=======================>  oo 

The solution in interval notation is (-oo, oo)

Edwin
AnlytcPhil@aol.com
       

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