SOLUTION: 2-3(6+5n)<-6n+20

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Question 677253: 2-3(6+5n)<-6n+20
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2-3%286%2B5n%29%3C-6n%2B20 Start with the given inequality.


2-18-15n%3C-6n%2B20 Distribute.


-15n-16%3C-6n%2B20 Combine like terms on the left side.


-15n%3C-6n%2B20%2B16 Add 16 to both sides.


-15n%2B6n%3C20%2B16 Add 6n to both sides.


-9n%3C20%2B16 Combine like terms on the left side.


-9n%3C36 Combine like terms on the right side.


n%3E%2836%29%2F%28-9%29 Divide both sides by -9 to isolate n. note: Remember, the inequality sign flips when we divide both sides by a negative number.


n%3E-4 Reduce.


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Answer:

So the solution is n%3E-4