SOLUTION: Solve and graph x+8<-6 or x+8>3

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Question 145954: Solve and graph

x+8<-6 or x+8>3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's solve x%2B8%3C-6




x%2B8%3C-6 Start with the first inequality


x%3C-6-8Subtract 8 from both sides


x%3C-14 Combine like terms on the right side


So the first part of our answer is x%3C-14


Here's the graph of the solution set




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Now let's solve x%2B8%3E3

x%2B8%3E3 Start with the given inequality



x%3E3-8Subtract 8 from both sides


x%3E-5 Combine like terms on the right side

So the second part of our answer is x%3E-5

Here's the graph of the solution set





-----------------------Solution

So the answer is

x%3C-14 or x%3E-5

which looks like