SOLUTION: Given f(x)=|x-4| , find all values of x such that f(x)>6 . Write your answer in interval notation.

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Question 507447: Given f(x)=|x-4| , find all values of x such that f(x)>6 . Write your answer in interval notation.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
iven f(x)=|x-4| , find all values of x such that f(x)>6 . Write your answer in interval notation.
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f(x)=|x-4|>6
solve for 2 conditions
(x-4)>6
x>10
or
-(x-4)>6
-x+4>6
-x>2
x<-2
solution:
(-∞,-2) U (10, ∞)