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
