SOLUTION: |3x+2|> 8

Question 243036: |3x+2|> 8
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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 2 from both sides

Combine like terms on the right side

Divide both sides by 3 to isolate x

Now lets focus on the second inequality

Start with the given inequality

Subtract 2 from both sides

Combine like terms on the right side

Divide both sides by 3 to isolate x

Divide

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Answer:

So our answer is

or

which looks like this in interval notation

if you wanted to graph the solution set on a number line, you would get

Graph of the solution set in blue and the excluded values represented by open circles
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