SOLUTION: Solve and graph the inequality -6 < x + 3 < 6

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Question 117958: Solve and graph the inequality
-6 < x + 3 < 6
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!

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





-9%3Cx%3C3 Subtract 3 from all sides



So the solution in interval notation is: (-9,3)


Now let's graph the solution set

drawing%28500%2C50%2C-10%2C10%2C-10%2C10%2C%0D%0Anumber_line%28+500%2C+-13%2C+7%29%2C%0D%0Ablue%28line%28-5.75%2C-7%2C5.85%2C-7%29%29%2C%0D%0Ablue%28line%28-5.75%2C-6%2C5.85%2C-6%29%29%2C%0D%0Ablue%28line%28-5.75%2C-5%2C5.85%2C-5%29%29%2C%0D%0A%0D%0Acircle%28-6%2C-5.8%2C0.35%29%2C%0D%0Acircle%28-6%2C-5.8%2C0.4%29%2C%0D%0Acircle%28-6%2C-5.8%2C0.45%29%2C%0D%0A%0D%0Acircle%286%2C-5.8%2C0.35%29%2C%0D%0Acircle%286%2C-5.8%2C0.4%29%2C%0D%0Acircle%286%2C-5.8%2C0.45%29%0D%0A%0D%0A%0D%0A%29

Note: at x=-9 there is a open circle (which means this point is excluded) and at x=3 there is a open circle (which means this point is excluded)