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Math Help - Sets Help I

  1. #1
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    Sets Help I

    A = {1,2,3}
    B= {0,1,4}
    C= {2,4,5}
    U= {0,1,2,3,4,5}

    1. (A∩B) ∩ B
    2. (A∩B) (AUC)
    3. (A∩U) - B



    I have 20 operations to answer.. Please answer them and explain, I don't understand it when there's a Prime ' on a bracket and a parenthesis..
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  2. #2
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    We won't be doing your work for you. You should know that the prime means "complement", u means "union", n means "intersection", and brackets mean "do me first".

    Have a go, show us what you have tried, then we may be of more help to you...
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  3. #3
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    I answered no. 1..
    1.) (A∩B’)’ ∩ B

    ({1,2,3}∩{2,3,5})' ∩ {0,1,4}

    ({2,3})' ∩ {0,1,4}

    {0,1,4,5} ∩ {0,1,4}

    {0,1,4}

    Is that right? I'll post my progress here..
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  4. #4
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    Ok, so I have answered another problem..





    Same Sets:
    (A'-B)'
    ({0,4,5}) - {0,1,4})'
    ({1})'
    = {0,2,3,4,5}

    So is this correct?
    Please answer, I've got a lot to answer..
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  5. #5
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    Sorry for spamming, but I'll correct my above post..

    (A'-B)'
    ({0,4,5}) - {0,1,4})'
    ({5})'
    = {0,1,2,3,4}

    Since Difference of Sets focus on the 1st set right? I mean the numbers in Set A that are not in B?
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  6. #6
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    Quote Originally Posted by Alphard View Post
    I answered no. 1..
    1.) (A∩B’)’ ∩ B

    ({1,2,3}∩{2,3,5})' ∩ {0,1,4}

    ({2,3})' ∩ {0,1,4}

    {0,1,4,5} ∩ {0,1,4}

    {0,1,4}

    Is that right? I'll post my progress here..
    Yes it's correct.
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  7. #7
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    The other one is correct as well. Personally, I prefer using the \ notation rather than - though, because I read \ as "excluding" while I read - as "subtracting"...
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