Difference between revisions of "University of South Carolina High School Math Contest/1993 Exam/Problem 22"
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Quickly simplifying the factors and cancelling gives us that <math>A=124/55</math> and <math>B=1001/192</math>. It is fairly obvious that <math>C</math> will be about <math>2</math>. Therefore <math>B>A>C</math>. | Quickly simplifying the factors and cancelling gives us that <math>A=124/55</math> and <math>B=1001/192</math>. It is fairly obvious that <math>C</math> will be about <math>2</math>. Therefore <math>B>A>C</math>. | ||
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+ | * [[University of South Carolina High School Math Contest/1993 Exam/Problem 23|Next Problem]] | ||
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+ | [[Category:Intermediate Algebra Problems]] |
Revision as of 10:50, 23 July 2006
Problem
Let
and
Then which of the following inequalities is true?
Solution
Quickly simplifying the factors and cancelling gives us that and . It is fairly obvious that will be about . Therefore .