# How do you graph and solve #|x-4|-5<1#?

##### 1 Answer

May 20, 2017

First add 5 to both sides:

#|x-4| < 6#

This means that

#-6 < x-4 < 6#

Finally, add 4 to all parts of the inequality.

#-2 < x < 10#

This is the final answer. On a number line graph, this inequality would look like this:

(image courtesy of Wolfram Alpha)