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Τρίτη 16 Φεβρουαρίου 2016

13 - Inequalities

Let a,b,c be positive real numbers such that 
1a+1b+1c1.
Prove that
a+bab+c+b+cbc+a+c+aca+b3abc6.
Proposed by Titu Andreescu, University of Texas at Dallas, USA
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