How do you solve #abs(2n-5)=7#?

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Answer 1 · 2018-05-09T20:28:27

The answer to the problem is #n=6 " and " n=-1#

With absolute value, you'll have two answers; one of them assuming #2n-5# is positive and one assuming #2n-5# is negative.

Therefore, we have to set it up like this:

#2n-5=7#

#2n-5=-7#

We set it up like this because #abs(7)# and #abs(-7)# both equal #7#.

We can solve both equations pretty easily:

#2n-5=7#
#2n=12#
#n=color(red)(6)#

#2n-5=-7#
#2n=-2#
#n=color(red)(-1)#