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Math Help - Help with Venn Diagram using 3 sets and a Universal Set

  1. #1
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    Help with Venn Diagram using 3 sets and a Universal Set

    Hello Everyone.

    I am looking for help with a Venn Diagram that uses 3 sets and a Universal Set. I missed this lecture due to having to take my daughter to a Dr. appointment and I am completely lost. I read the book over and over and still can't figure it out completely. Your help will greatly be appreciated. Here is the problem:

    Draw a Venn Diagram for the sets:

    U= (This is the universal set) {1,2,3,4,5,6,7,8,9,10,13,21,34,55,89,144}
    A= {1,2,3,4,5,8,13,89}
    B= {2,4,6,7,8,10,34}
    C= {1,3,5,6,8,9,55,144}

    I believe I should be drawing a Venn diagram inside a rectangle with a U in the corner for the universal set. I am unsure of what areas I need to shade in the Venn diagram and also if I need to do something about the fact that none of the sets contain #21 that is in the universal set.


    After this part there are three more parts to this question.

    Determine and state:
    ____________

    (( A n C ) U B ) = ( there is also a small line over B - )

    Determine and state:
    ______

    (B U C ) n A = ( there is also a small line over the A - )

    Which two sets are equivalent but not equal? Please explain by showing a one to one correspondence between those sets.

    I have no idea what this means and I have to turn it in today. So any help you can give me I would really appreciate it. Also I would love an explaination so I can try to understand what this all means. Thank you so much.
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  2. #2
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    Quote Originally Posted by mdoodles View Post
    Hello Everyone.

    I am looking for help with a Venn Diagram that uses 3 sets and a Universal Set. I missed this lecture due to having to take my daughter to a Dr. appointment and I am completely lost. I read the book over and over and still can't figure it out completely. Your help will greatly be appreciated. Here is the problem:

    Draw a Venn Diagram for the sets:

    U= (This is the universal set) {1,2,3,4,5,6,7,8,9,10,13,21,34,55,89,144}
    A= {1,2,3,4,5,8,13,89}
    B= {2,4,6,7,8,10,34}
    C= {1,3,5,6,8,9,55,144}

    I believe I should be drawing a Venn diagram inside a rectangle with a U in the corner for the universal set. I am unsure of what areas I need to shade in the Venn diagram and also if I need to do something about the fact that none of the sets contain #21 that is in the universal set.


    After this part there are three more parts to this question.

    Determine and state:
    ____________

    (( A n C ) U B ) = ( there is also a small line over B - )

    Determine and state:
    ______

    (B U C ) n A = ( there is also a small line over the A - )

    Which two sets are equivalent but not equal? Please explain by showing a one to one correspondence between those sets.

    I have no idea what this means and I have to turn it in today. So any help you can give me I would really appreciate it. Also I would love an explaination so I can try to understand what this all means. Thank you so much.
    First I'll attach the diagram. You can use it to answer the questions.
    Attached Thumbnails Attached Thumbnails Help with Venn Diagram using 3 sets and a Universal Set-drei_venn.gif  
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  3. #3
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    Joined
    Feb 2008
    Posts
    6

    Thank you

    Thank you so much for your help.

    I think I was able to make sense out of the rest of the problem using the diagram you gave me. I really appreciate your assistance with this.

    Thanks!!!!
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