SOLUTION: How do you graph -6 < x + 3 < 6?

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Question 151743: How do you graph -6 < x + 3 < 6?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-6%3Cx%2B3%3C6 Start with the given compound inequality.


-6-3%3Cx%3C6-3 Subtract 3 from all sides.


-9%3Cx%3C6-3 Combine like terms on the left side.


-9%3Cx%3C3 Combine like terms on the right side.


So our answer is -9%3Cx%3C3


So the answer in interval notation is ()


So the answer in set-builder notation is


Here's the graph of the solution set

Graph of the solution set

Note:
There is an open circle at x=-9 which means that we're excluding this value from the solution set
Also, there is an open circle at x=3 which means that we're excluding this value from the solution set.