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Inequality challenged (Posted on 2013-03-19) Difficulty: 2 of 5
Given x,y and z are non-negative real numbers satisfying equation:
x + y + z = 1 .
Prove that 0 ≤ yz + zx + xy - 2xyz ≤ 7/27.

Source: Russian IMO .

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
SolutionI think I got it.Jer2013-03-20 12:54:06
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