How do you solve #abs(x)<15#?

1 Answer
fe of the lake · Stefan V.
Jun 11, 2018

#-15 < x < 15#

Explanation:

The absolute value means that the number is always positive so, for example

#|-3|=3#

So if #|x|# needs to be smaller than #15#, you can't go lower than #-15# because that would be

#|-15| = 15#

just as #|-16|# wouldn't be smaller than #15#, since it's the same as #16#. You can't go higher than #15# either because

#|15| = 15#

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