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 Is It Necessary and Sufficient (Posted on 2008-02-27)
Let a,b,c be real numbers. Is a,b,c≥0 the necessary and sufficient condition to show that a3+b3+c3≥3abc? If not, find the condition that is both sufficient and necessary.

 Submitted by Praneeth Rating: 3.5000 (2 votes) Solution: (Hide) The necessary and sufficient condition: (a+b+c)≥0 or a=b=c. Explanation: Look at K Sengupta's Solution Thanks to K Sengupta for solution and Steve Herman for the correction.

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 Subject Author Date re: Puzzle Solution -- minor correction K Sengupta 2008-02-28 05:05:19 Puzzle Solution -- minor correction Steve Herman 2008-02-28 01:29:45 Puzzle Solution K Sengupta 2008-02-27 23:57:58 More thoughts; Solution? Steve Herman 2008-02-27 23:45:35 Stating the obvious ... Steve Herman 2008-02-27 11:34:08
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