February 2nd, 2014, 10:05 AM  #1 
Newbie Joined: Feb 2014 Posts: 26 Thanks: 0  Inequality
Hello! x_1, x_2…x_n ? [0,1] real numbers. Prove that (n1)/2+1/(1+x_1?x_2?…?x_n )?1/(1+x_1 )+1/(1+x_2 )+?+1/(1+x_n )?n1+ 1/(1+x_1?…?x_n ) Thank you! 
February 2nd, 2014, 10:12 AM  #2 
Senior Member Joined: Sep 2007 From: USA Posts: 349 Thanks: 67 Math Focus: Calculus  Re: Inequality
What have you done so far? What part are you hung up on?

February 2nd, 2014, 06:53 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,624 Thanks: 2077 
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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