SOLUTION: |2x-6| -2 < 2
Algebra.Com
Question 180808: |2x-6| -2 < 2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality
Add 2 to both sides.
Break up the absolute value (remember, if you have , then and )
and Break up the absolute value inequality using the given rule
Combine the two inequalities to get a compound inequality
Add 6 to all sides
Divide all sides by 2 to isolate x
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Answer:
So our answer is
which looks like this in interval notation
)
Also, the answer in set-builder notation is 
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