SOLUTION: I'm stuck on a problem, what is t+1/27 is greater than 8/9t. I've been working on this problem for about a half hour now and can't figure out how to set up the problem. Thank you f

Algebra ->  Inequalities -> SOLUTION: I'm stuck on a problem, what is t+1/27 is greater than 8/9t. I've been working on this problem for about a half hour now and can't figure out how to set up the problem. Thank you f      Log On


   

Question 325465: I'm stuck on a problem, what is t+1/27 is greater than 8/9t. I've been working on this problem for about a half hour now and can't figure out how to set up the problem. Thank you for your help!
Amanda
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

t%2B1%2F27%3E%288%2F9%29t Start with the given inequality.


27%28t%2B1%2Fcross%2827%29%29%3E27%28%288%2Fcross%289%29%29t%29 Multiply both sides by the LCD 27 to clear any fractions.


27t%2B1%3E24t Distribute and multiply.


27t%3E24t-1 Subtract 1 from both sides.


27t-24t%3E-1 Subtract 24t from both sides.


3t%3E-1 Combine like terms on the left side.


t%3E%28-1%29%2F%283%29 Divide both sides by 3 to isolate t.


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Answer:

So the solution is t%3E-1%2F3