SOLUTION: -9-3m-m<9m-9

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Question 178191: -9-3m-m<9m-9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-9-3m-m%3C9m-9 Start with the given inequality.


-4m-9%3C9m-9 Combine like terms on the left side.


-4m%3C9m-9%2B9 Add 9 to both sides.


-4m-9m%3C-9%2B9 Subtract 9m from both sides.


-13m%3C-9%2B9 Combine like terms on the left side.


-13m%3C0 Combine like terms on the right side.


m%3E%280%29%2F%28-13%29 Divide both sides by -13 to isolate m. note: Remember, the inequality sign flips when we divide both sides by a negative number.


m%3E0 Reduce.


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Answer:

So the answer is m%3E0


So the answer in interval notation is


Also, the answer in set-builder notation is


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

Graph of the solution set where there is an open circle at the endpoint m=0