Question 92717
Solve: |x-2|< 1
Comment: If you have the following inequality, |w|<2, then 
-2 < w < 2
The same is true for |x-2| <1
It means -1 < x-2 < 1
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You then add 2 along the line to get:
-1+2 < x-2+2 < 1+2
Then 1 < x < 3
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Hope this helps.
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Cheers,
Stan H.