SOLUTION: |x+6|<4 I've set x+6=4 and -(x+6)=4 but none of my answers work

Algebra ->  Absolute-value -> SOLUTION: |x+6|<4 I've set x+6=4 and -(x+6)=4 but none of my answers work      Log On


   



Question 293007: |x+6|<4 I've set x+6=4 and -(x+6)=4 but none of my answers work
Found 2 solutions by Fombitz, jim_thompson5910:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Try this instead
%28x%2B6%29%3C4 and
-%28x%2B6%29%3C4.
You have an "=" in place of the inequality.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: If abs%28x%29%3Ca, then x%3Ca or x%3E-a. If 'a' is a positive number, then we can combine the two inequalities to get -a%3Cx%3Ca.

What this means is that the given inequality abs%28x%2B6%29%3C4 can be written as -4%3Cx%2B6%3C4