SOLUTION: SOLVE THE INEQUALITY. GRAPH THE SOLUTION SET AND WRITE IT IN INTERVAL NOTATION m-2(m+3)<2m

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Question 654446: SOLVE THE INEQUALITY. GRAPH THE SOLUTION SET AND WRITE IT IN INTERVAL NOTATION
m-2(m+3)<2m
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

m-2%28m%2B3%29%3C2m Start with the given inequality.


m-2m-6%3C2m Distribute.


-m-6%3C2m Combine like terms on the left side.


-m%3C2m%2B6 Add 6 to both sides.


-m-2m%3C6 Subtract 2m from both sides.


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


m%3E%286%29%2F%28-3%29 Divide both sides by -3 to isolate m. note: Remember, the inequality sign flips when we divide both sides by a negative number.


m%3E-2 Reduce.


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Answer:

So the solution is m%3E-2

The answer in interval notation is then