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Sum > Sum Reciprocals (Posted on 2010-11-25) Difficulty: 3 of 5
A, B and C are three positive real numbers such that: A*B*C = 1, and: A + B + C > 1/A + 1/B + 1/C

Prove that precisely one (and, no more) of A, B and C is greater than 1.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionSolutionHarry2010-11-26 23:21:01
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