SOLUTION: -6(8n-6)+1<37-6n

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Question 561286: -6(8n-6)+1<37-6n
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-6%288n-6%29%2B1%3C37-6n Start with the given inequality.


-48n%2B36%2B1%3C37-6n Distribute.


-48n%2B37%3C37-6n Combine like terms on the left side.


-48n%3C37-6n-37 Subtract 37 from both sides.


-48n%2B6n%3C37-37 Add 6n to both sides.


-42n%3C37-37 Combine like terms on the left side.


-42n%3C0 Combine like terms on the right side.


n%3E%280%29%2F%28-42%29 Divide both sides by -42 to isolate n. note: Remember, the inequality sign flips when we divide both sides by a negative number.


n%3E0 Reduce.


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Answer:

So the solution is n%3E0
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