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!

How can we check that this operation is associative ?

  1. Nov 2, 2012 #1
    hello , there is an example here say that the binary operation which we denote it Δ is associative .
    Δ is defiened as follows :
    if A,B are two sets then
    AΔB=(A-B)U(B-A). and Δ is associative . but the proof is omitted . and I need to know the proof .
     
  2. jcsd
  3. Nov 2, 2012 #2

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    So, what did you attempt? Where are you stuck?
     
  4. Nov 2, 2012 #3

    jedishrfu

    Staff: Mentor

    start by subbing in the the union definition and then rearrange terms.

    (A ^ B) ^ C ) = ( ( A - B ) U ( B - A ) - C ) U ( C - ( A - B ) U ( B - A ) )

    now show some work.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: How can we check that this operation is associative ?
Loading...