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 Power inequality (Posted on 2005-03-15)
Prove that for all positive x, y, and z,

(x+y)^z+(y+z)^x+(z+x)^y > 2.

 See The Solution Submitted by e.g. Rating: 3.0000 (1 votes)

 Subject Author Date Second Half of Solution Andre 2010-05-25 14:09:47 Solution David 2005-03-28 07:20:39 re(4): Can get close to 2 - what is missing ? Richard 2005-03-28 03:45:01 re(3): Can get close to 2 - what is missing ? pcbouhid 2005-03-27 21:45:48 re(2): Can get close to 2 - what is missing ? Richard 2005-03-27 20:45:15 re: Can get close to 2 - what is missing ? pcbouhid 2005-03-27 17:21:54 re(4): Can get close to 2 Richard 2005-03-17 19:05:55 re(3): Can get close to 2 pcbouhid 2005-03-17 12:29:35 Conjecture Richard 2005-03-17 01:00:11 re(2): Can get close to 2 Michael Cottle 2005-03-16 21:30:11 re: Can get close to 2 pcbouhid 2005-03-16 21:03:09 Can get close to 2 Richard 2005-03-16 20:47:26 re(4): am I wrong ? pcbouhid 2005-03-16 18:43:57 re(3): am I wrong ? Michael Cottle 2005-03-16 17:57:18 re(2): am I wrong ? pcbouhid 2005-03-16 13:07:28 Half a solution Federico Kereki 2005-03-16 01:35:33 re: am I wrong ? Richard 2005-03-16 00:16:08 am I wrong ? pcbouhid 2005-03-15 22:23:16

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