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

Algebra.Com
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)   (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.
**
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, ∞)

RELATED QUESTIONS

Given f(x)=|x+5| ,find all values of x such that f(x) is greater than 8 . Write your... (answered by jim_thompson5910)
Find all x such that x^2+5x<6. Express your answer in interval notation. (answered by josgarithmetic,MathTherapy)
Find the domain of the logarithmic function. Write your answer in interval notation... (answered by lwsshak3)
For the graph of the function f sketched in the figure, determine the following. (a)... (answered by richard1234)
if f(x) =x(x+3)(x-1), use interval notation to give all values of x where f(x)>0.... (answered by CubeyThePenguin)
For​ f(x) as​ given, write the domain of f. f(x)=x+8/2x−8 The domain... (answered by josgarithmetic,TeachMath,ikleyn,amalm06)
Find all values of x in the interval [0, 2π] that satisfy the inequality. (Enter... (answered by lwsshak3)
Use the given functions to find all values of x that satisfy the inequality f(x)≥... (answered by josmiceli)
find the domain and range of each function. write your answer in interval notation. F(x)= (answered by lwsshak3)