SOLUTION: Given f(x)=|x+5| ,find all values of x such that f(x) is greater than 8 . Write your answer in interval notation.

Question 350698: Given f(x)=|x+5| ,find all values of x such that f(x) is greater than 8 . Write your answer in interval notation.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We essentially want to solve

Start with the given inequality

Break up the absolute value (remember, if you have , then or )

or Break up the absolute value inequality using the given rule

Now lets focus on the first inequality

Start with the given inequality

Subtract 5 from both sides

Combine like terms on the right side

Now lets focus on the second inequality

Start with the given inequality

Subtract 5 from both sides

Combine like terms on the right side

----------------------------------------------------

Answer:

So our answer is

or

which looks like this in interval notation

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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