a, b, c -positive real numbers

abc=1

show that (a+b)/[2(a^7+b^7+c)]+(b+c)/[2(b^7+c^7+a)]+(c+a)/[2(c^7+a^7+b)]<=1

thanks

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- Sep 1st 2008, 04:48 AMely_eni need some ideas
a, b, c -positive real numbers

abc=1

show that (a+b)/[2(a^7+b^7+c)]+(b+c)/[2(b^7+c^7+a)]+(c+a)/[2(c^7+a^7+b)]<=1

thanks - Sep 6th 2008, 07:22 AMcourteous
Hi,

I would assume that you should make the nominator (top part of a fraction) a 1 (number one), whilst having the denominator (lower part) a positive number (which all in all is less than (or equal) to 1).

You could've also denote the $\displaystyle a^7 = x$, etc.

No concrete solution though. (Speechless)