|x + 6| x + 6 how do you solve things like this

Algebra
Tutor: None Selected Time limit: 1 Day

Evaluate the expression. (If an answer is undefined, enter UNDEFINED.)

 It is asking me 

BLANK1 if x > BLANK4
BLANK2 if x = BLANK5
BLANK3 if x < BLANK6

I think blank1 is 1 and blank3 -1 but I am not sure about the rest? Help?
Jan 14th, 2015

|x+6| = (x+6) if x > -6 

|x+6| = -(x+6) = -x-6 if x < -6

For example if x = -4 , then |x+6| = (x+6) = -4+6 =2

If x = -8 then |x+6| = -x-6 = -(-8)-6 = 8-6 =2

Jan 14th, 2015

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Jan 14th, 2015
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