perplexus.info :: Just Math : Inequality challenged

Inequality challenged (Posted on 2013-03-19)

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
	I think I got it.	Jer	2013-03-20 12:54:06

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