SOLUTION: Solve the following absolute value inequality: I am not quit sure how to do this problem with a fraction. Thank you ½ |x – 2| < 4

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Question 164981: Solve the following absolute value inequality: I am not quit sure how to do this problem with a fraction. Thank you
½ |x – 2| < 4
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
Solve the following absolute value inequality: I am not quit sure how to do this problem with a fraction. Thank you 



Multiply both sides by 







RULES for removing absolute value bars in inequalities.
(Assume A is a non-negative number)

1.  becomes 
2.  becomes 
3.  becomes 
4.  becomes 

Your problem is case 1

 becomes 

Solve for x in the middle



Add 2 to all three sides:





In interval notation:

(-6, 10)

Edwin
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