I've been racking my brain for the solution, but it just doesn't come out right. Please help!
(The |x+4| is the absolute value by the way)
Update:Here are the choices:
A. -2≤x≤6
B. x≤-2 or x≥6
C. -12≤x≤4
D. x≤-12 or x≥4
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Answers & Comments
you want to get the absolute value by itself
First subtract 5 from both sides
You get:-|x+4|<=2
divide both sides by -1
You get |x+4|<=-2
This then results in two equasions:
x+4<=2 x+4=>-2
x<= -2. x=>-6
X is between -6 and -2, inculding -6 and -2
|a+b|= c
a+b<=c a+b=>-c
if youre a student, talk to your math teacher about it, as I'm not 100% sure.
rewrite the equation to 5-x+4<-3 and 5-x-4<-3 then solve for x
x is less than or equal to 4