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February 2nd, 2014, 10:05 AM   #1
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Inequality

Hello!
x_1, x_2x_n ? [0,1] real numbers.
Prove that
(n-1)/2+1/(1+x_1?x_2??x_n )?1/(1+x_1 )+1/(1+x_2 )+?+1/(1+x_n )?n-1+ 1/(1+x_1??x_n )
Thank you!
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February 2nd, 2014, 10:12 AM   #2
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Re: Inequality

What have you done so far? What part are you hung up on?
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February 2nd, 2014, 06:53 PM   #3
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If they're in [0, 1], they must be real, so it isn't necessary to add that they are real numbers.
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