How do you solve and graph #abs(x+1)<4#?

1 Answer
Jim H
Sep 26, 2017

Please see below.

Explanation:

The numbers whose absolute values are less that #4# are between #-4# and #4#, so we need

#-4 < x+1 < 4#.

Subtracting #1# from each part gets us

#-5 < x < 3#

The solution set is #(-5,3)#.

To graph, put an open circle at #-5# and another at #3#. Connect them with s line segement.

Related questions
See all questions in Absolute Value Inequalities
Impact of this question
1872 views around the world
You can reuse this answer
Creative Commons License