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Power inequality (Posted on 2005-03-15) Difficulty: 3 of 5
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)

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  Subject Author Date
SolutionSecond Half of SolutionAndre2010-05-25 14:09:47
SolutionSolutionDavid2005-03-28 07:20:39
re(4): Can get close to 2 - what is missing ?Richard2005-03-28 03:45:01
re(3): Can get close to 2 - what is missing ?pcbouhid2005-03-27 21:45:48
re(2): Can get close to 2 - what is missing ?Richard2005-03-27 20:45:15
re: Can get close to 2 - what is missing ?pcbouhid2005-03-27 17:21:54
re(4): Can get close to 2Richard2005-03-17 19:05:55
re(3): Can get close to 2pcbouhid2005-03-17 12:29:35
ConjectureRichard2005-03-17 01:00:11
re(2): Can get close to 2Michael Cottle2005-03-16 21:30:11
re: Can get close to 2pcbouhid2005-03-16 21:03:09
Can get close to 2Richard2005-03-16 20:47:26
re(4): am I wrong ?pcbouhid2005-03-16 18:43:57
Some Thoughtsre(3): am I wrong ?Michael Cottle2005-03-16 17:57:18
re(2): am I wrong ?pcbouhid2005-03-16 13:07:28
SolutionHalf a solutionFederico Kereki2005-03-16 01:35:33
re: am I wrong ?Richard2005-03-16 00:16:08
Some Thoughtsam I wrong ?pcbouhid2005-03-15 22:23:16
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