1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Reverse triangle inequality for n real numbers

  1. Nov 3, 2008 #1
    I have been trying the proof of the reverse triangle inequality for n+1 real numbers:

    |x-y1-y2-y3-....-yn| [tex]\geq[/tex] | |x| - |y1| - |y2| - |y3| - ....-|yn| |

    I know the proof of the reverse triangle inequality for 2 real numbers and the triangle inequality for n numbers. can somebody help ?
     
  2. jcsd
  3. Nov 3, 2008 #2
    this inequality isn't even true, take x=0 for instance, and y1=1, y2=-1, y3=1...
    when n is even, you get zero on left hand side and n on the right hand side.
     
  4. Nov 4, 2008 #3
    There goes 1 hour trying to prove something which is easily disproved. It was one exercise in a Real analysis book. Well atleast I learnt how to be critical of everything now ^^
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Reverse triangle inequality for n real numbers
  1. Triangle Inequality (Replies: 14)

  2. Triangle inequality (Replies: 1)

Loading...