SOLUTION: Can someone please help me solve and graph the inequality and graph the solution. -8x - 2 (greater than or equal to) - 7x - 12

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Question 201220: Can someone please help me solve and graph the inequality and graph the solution.
-8x - 2 (greater than or equal to) - 7x - 12

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given inequality.


Add to both sides.


Add to both sides.


Combine like terms on the left side.


Combine like terms on the right side.


Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.


Reduce.


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Answer:

So the solution is



So the answer in interval notation is (]



Also, the answer in set-builder notation is


Here's the graph of the solution set on a number line:



Note: there is a CLOSED circle at the endpoint.

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