SOLUTION: How do I solve this equation algebraically Abs((x+2)/4) is greater than or equal to 3

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Question 1064007: How do I solve this equation algebraically
Abs((x+2)/4) is greater than or equal to 3

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28%28x%2B2%29%2F4%29%3E=3

%281%2F4%29abs%28x%2B2%29%3E=3

abs%28x%2B2%29%3E=4%2A3

abs%28x%2B2%29%3E=12


Solve for two possibilities from here.
system%28x%2B2%3E=0%2Cx%2B2%3C0%29


If non-negative:
then
x%2B2%3E=12
-
If negative
then
-%28x%2B2%29%3E=12
-
Solve each of them. Make the necessary conclusion.