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.

(In reply to Puzzle Solution -- minor correction by Steve Herman)

Thanks.

I have incorporated the foregoing correction in my prevous post.

Posted by K Sengupta on 2008-02-28 05:05:19