Results 1 to 3 of 3

Thread: [SOLVED] logic sets equvalence relation

  1. #1
    Junior Member
    Joined
    Nov 2008
    Posts
    29

    [SOLVED] logic sets equvalence relation

    urgently need help
    Attached Thumbnails Attached Thumbnails [SOLVED] logic sets equvalence relation-7.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    12,028
    Thanks
    848
    Hello, srk619!

    State, with reasons, whether the raltion R on $\displaystyle N\times N,$

    . . given by $\displaystyle mRn\text{ if }m \geq n$ is an equivalence relation.

    Reflexive: .Is $\displaystyle aR\,a$ for all $\displaystyle a?$

    . . Since $\displaystyle a \geq\,a$ for all $\displaystyle a$, it is reflexive.


    Symmetric: .If $\displaystyle aR\,b$, does $\displaystyle bR\,a ?$

    . . If $\displaystyle a \geq b$, then it may or may not be true that: $\displaystyle b \geq a$

    . . Hence: $\displaystyle R$ is not symmetric.


    Therefore, $\displaystyle R$ is not an equivalence relation.

    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Nov 2008
    Posts
    29
    thanks sorban you been a great help
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. help with sets and logic
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: May 13th 2011, 02:56 PM
  2. Sets and logic
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: Sep 22nd 2010, 02:16 AM
  3. [SOLVED] logic sets
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: Feb 3rd 2009, 08:35 AM
  4. logic sets help
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: Feb 1st 2009, 06:48 AM
  5. logic sets
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: Nov 17th 2008, 10:04 AM

Search Tags


/mathhelpforum @mathhelpforum