SOLUTION: please show how to Solve the absolute value inequality, please Write interval notation for the solution set |10x – 8| ≤ 32

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Question 1055766: please show how to Solve the absolute value inequality, please Write interval notation for the solution set
|10x – 8| ≤ 32
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
factorize the positive number, 2, from the absolute value:

and then


Solve for the two possible conditions of 5x-4; that it be less than zero, or that it be non-negative.

If nonnegative,



If negative,



or


Putting these two solution parts together,
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