SOLUTION: I am totally lost, I'm suppose to solve the inequality and then graph absolute value x+4 end of absolute value less than 6 please help

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Question 28917: I am totally lost,
I'm suppose to solve the inequality and then graph
absolute value x+4 end of absolute value less than 6
please help
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
the graph of y=|x+4| looks like: +graph%28300%2C300%2C+-12%2C4%2C-4%2C10%2Cabs%28x%2B4%29%29+

it is just the graph of y = x+4 except where we have negative y-values...here the line is reflected back...the line is essentially y=-(x+4)

So, look at the V-shaped line. We need to know where this is less than 6... draw a horizontal line at y=6 and you get the answers:

+graph%28300%2C300%2C+-12%2C4%2C-4%2C10%2Cabs%28x%2B4%29%2C+6%29+

OK, algebraically, we have in essence 2 equations to compare with y=6.

1. x+4<6
--> x < 2 is one answer (which matches with the graph)

2. -(x+4) < 6
--> -x - 4 < 6
--> -x < 10
--> x > -10 is the other answer (which matches with the graph too).

jon.