SOLUTION: Solve -168 < 11x - 14 < = 8 Please help!!!!

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Question 150967: Solve -168 < 11x - 14 < = 8
Please help!!!!
Answer by jim_thompson5910(21682) About Me  (Show Source):
You can put this solution on YOUR website!
-168+%3C+11x+-+14+%3C+=+8 Start with the given compound inequality.


-168%2B+14+%3C+11x+%2Bcross%28-14%2B14%29++%3C+=+8%2B+14 Add 14 to all sides.


-154%3C11x%3C=22 Combine like terms.


-154%2F11%3Ccross%2811%2F11%29x%3C=22%2F11 Divide all sides by 11.


-14%3Cx%3C=2 Divide.

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Answer:

So the solution set is

-14%3Cx%3C=2


So the answer in interval notation is (]


So the answer in set-builder notation is


Here's the graph of the solution set

drawing%28500%2C80%2C-19%2C+7%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-19%2C+7+%2C2%29%2C%0D%0A%0D%0Ablue%28line%28-14%2C0%2C2%2C0%29%29%2C%0D%0Ablue%28line%28-14%2C0.30%2C2%2C0.30%29%29%2C%0D%0Ablue%28line%28-14%2C0.15%2C2%2C0.15%29%29%2C%0D%0Ablue%28line%28-14%2C-0.15%2C2%2C-0.15%29%29%2C%0D%0Ablue%28line%28-14%2C-0.30%2C2%2C-0.30%29%29%2C%0D%0Acircle%28-14%2C0%2C0.3%29%2Ccircle%28-14%2C0%2C0.35%29%0D%0A%0D%0A%29 Graph of the solution set

Note:
There is an open circle at x=-14 which means that we're excluding this value from the solution set
Also, there is a closed circle at x=2 which means that we're including this value in the solution set.