Question

Show all your steps
5| x | + 3 < 18

Answer 1

-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