What is the value of the expression when x=10? 5|8-x|
2 answers:
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Answer:
-3 < x < 3
x is some number between -3 and 3; x cannot equal -3, x cannot equal 3
graph shown below
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Work Shown:
5|x| + 3 < 18
5|x| + 3 - 3 < 18-3 ... see note 1
5|x| < 15
(5|x|)/5 < 15/5 .... note 2
|x| < 3
-3 < x < 3 .... note 3
graph shown below
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note 1: Subtract 3 fom both sides to undo the "+3"
note 2: Divide both sides by 5 to undo the multiplication
note 3: If |x| < k, for some positive number k, then -k < x < k
