SOLUTION: solve: abs value of x-1 minus eight is less than or equal to neg four

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Question 495647: solve: abs value of x-1 minus eight is less than or equal to neg four
Answer by lwsshak3(11628) About Me  (Show Source):
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solve: abs value of x-1 minus eight is less than or equal to neg four
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|x-1|-8≤-4
Solve for two conditions.
..
x-1-8≤-4
x-9≤-4
x≤5
..
-(x-1)-8≤-4
-x+1-8≤-4
-x-7≤-4
-x≤3
multiply by (-1) and reverse inequality sign
x≥-3
..
solution:
x≤5 or x≥-3