SOLUTION: 1/2n - 1/8 >_ 3/4 + 5/6n

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Question 368198: 1/2n - 1/8 >_ 3/4 + 5/6n
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F2%29n-1%2F8%3E=3%2F4%2B%285%2F6%29n Start with the given inequality.


Multiply both sides by the LCD 24 to clear any fractions.


12n-3%3E=18%2B20n Distribute and multiply.


12n%3E=18%2B20n%2B3 Add 3 to both sides.


12n-20n%3E=18%2B3 Subtract 20n from both sides.


-8n%3E=18%2B3 Combine like terms on the left side.


-8n%3E=21 Combine like terms on the right side.


n%3C=%2821%29%2F%28-8%29 Divide both sides by -8 to isolate n. note: Remember, the inequality sign flips when we divide both sides by a negative number.


n%3C=-21%2F8 Reduce.


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Answer:

So the solution is n%3C=-21%2F8


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Jim