SOLUTION: The absolute value of 8-4x over 3 is less than 2. What is x?

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Question 894034: The absolute value of 8-4x over 3 is less than 2.
What is x?
Answer by fcabanski(1391)   (Show Source): You can put this solution on YOUR website!
|8-4x| < 6


What's inside the absolute value can be either positive or negative, because absolute value makes everything positive.


For the positive value: 8-4x<6


-4x <-2


x > 2/4


x>1/2


For the negative value: -(8-4x) <6


-8 + 4x <6


4x < 14


x < 14/4


x<7/2


The solution is 1/2 < x < 7/2

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