SOLUTION: -3+11(12+9)<6(n+6)

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Question 702103: -3+11(12+9)<6(n+6)
Found 2 solutions by jim_thompson5910, sofiyac:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-3%2B11%2812%2B9%29%3C6%28n%2B6%29 Start with the given inequality.


-3%2B132%2B99%3C6n%2B36 Distribute.


228%3C6n%2B36 Combine like terms on the left side.


0%3C6n%2B36-228 Subtract 228 from both sides.


-6n%3C36-228 Subtract 6n from both sides.


-6n%3C-192 Combine like terms on the right side.


n%3E%28-192%29%2F%28-6%29 Divide both sides by -6 to isolate n. note: Remember, the inequality sign flips when we divide both sides by a negative number.


n%3E32 Reduce.


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Answer:

So the solution is n%3E32

Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
-3+11(12+9)<6(n+6)
-3+11(21)<6(n+6)
-3+231<6(n+6)
228<6n+36
192<6n
32%3Cn