SOLUTION: Set Builder 30n+6<6(4n+7)

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Question 416520: Set Builder
30n+6<6(4n+7)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

30n%2B6%3C6%284n%2B7%29 Start with the given inequality.


30n%2B6%3C24n%2B42 Distribute.


30n%3C24n%2B42-6 Subtract 6 from both sides.


30n-24n%3C42-6 Subtract 24n from both sides.


6n%3C42-6 Combine like terms on the left side.


6n%3C36 Combine like terms on the right side.


n%3C%2836%29%2F%286%29 Divide both sides by 6 to isolate n.


n%3C6 Reduce.


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Answer:

So the answer is n%3C6

This means that the answer is set builder notation is {n | n < 6 }



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