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Thread: Set Theory Problem

  1. #1
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    Exclamation Set Theory Problem

    I need some help on subsets because this problem I have is giving me issues. If any of you could help me that would be wonderful.


    Write all of the subsets of the following set: {1,2,5}
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  2. #2
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    Re: Set Theory Problem

    The empty set.
    The three sets with one element in each.
    The three sets with exactly two elements in it.
    The full set.
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  3. #3
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    Re: Set Theory Problem

    So something like this?

    A = {1}

    B = {2}

    C= {5}

    D = {1, 2}

    E = {2, 5}

    Full Set = {1, 2, 3, 4, 5}
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  4. #4
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    Re: Set Theory Problem

    Quote Originally Posted by marsandfruit View Post
    So something like this?

    A = {1}

    B = {2}

    C= {5}

    D = {1, 2}

    E = {2, 5}

    Full Set = {1, 2, 3, 4, 5}
    Did you read Slip's response? You are missing $\varnothing$ and {1,5}, also the full set is {1,2,5}, not {1,2,3,4,5} ... 3 and 4 are not elements of the original set.
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  5. #5
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    Re: Set Theory Problem

    In general, if a set has n members, then it has 2^n subsets, including the empty set and the entire set. Here n= 3 so there are 2^3= 8 subsets.
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