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Math Help - 10 Relations on set A={1,2,3} with conditions.

  1. #1
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    Question 10 Relations on set A={1,2,3} with conditions.

    suppose we have set A={1,2,3}
    write relation with fewest members and these conditions:


    1. just reflexive


    2. just symmetric


    3. just transitive


    4. just antisymmetric


    5. just reflexive and symmetric

    6. just reflexive and antisymmetric


    7. just reflexive and transitive


    8. just antisymmetric and transitive


    9. just reflexive and symmetric and transitive


    10. reflexive and symmetric and antisymmetric and transitive



    Please Help.
    Thank you

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  2. #2
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    Re: 10 Relations on set A={1,2,3} with conditions.

    Quote Originally Posted by reza95 View Post
    suppose we have set A={1,2,3}
    write relation with fewest members and these conditions:
    1. just reflexive
    2. just symmetric
    3. just transitive
    4. just antisymmetric
    5. just reflexive and symmetric
    6. just reflexive and antisymmetric
    7. just reflexive and transitive
    8. just antisymmetric and transitive
    9. just reflexive and symmetric and transitive
    10. reflexive and symmetric and antisymmetric and transitive
    This is nothing more than busy busy work.

    You should get busy and show some work.
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  3. #3
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    Re: 10 Relations on set A={1,2,3} with conditions.

    Quote Originally Posted by reza95 View Post
    suppose we have set A={1,2,3}
    write relation with fewest members and these conditions:


    1. just reflexive


    2. just symmetric


    3. just transitive


    4. just antisymmetric


    5. just reflexive and symmetric

    6. just reflexive and antisymmetric


    7. just reflexive and transitive


    8. just antisymmetric and transitive


    9. just reflexive and symmetric and transitive


    10. reflexive and symmetric and antisymmetric and transitive



    Please Help.
    Thank you

    Do you know what any of these words mean? If you know what "reflexive" means, problem 1 is trivial.
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  4. #4
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    iran
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    Re: 10 Relations on set A={1,2,3} with conditions.

    I know what is "reflexive" but I do not what I write is correct or not?
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  5. #5
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    Re: 10 Relations on set A={1,2,3} with conditions.

    Quote Originally Posted by reza95 View Post
    I know what is "reflexive" but I do not what I write is correct or not?
    You did not write any version of a solution to question 1. How can we say if you are correct?
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