MathDB
inequality

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January 31, 2016
inequalitiesalgebrainequalities proposed

Problem Statement

Let aa,bb,cc and dd positive reals. Prove that 1a+b+c+d≤164(1a+1b+4c+16d)\frac{1}{a+b+c+d} \leq \frac{1}{64}(\frac{1}{a}+\frac{1}{b}+\frac{4}{c}+\frac{16}{d})
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