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Math Help - Quicky Question involving sets

  1. #1
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    Quicky Question involving sets

    {a,b,c{a,b}} \ P(A)

    is the {a} in the power set = to the a in the left side of the equation, or should {a} and a be considered completely different objects?

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  2. #2
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    Quote Originally Posted by Eclyps19 View Post
    {a,b,c{a,b}} \ P(A) is the {a} in the power set = to the a in the left side of the equation, or should {a} and a be considered completely different objects?
    As written the question is almost unreadable!
    First, should it be {a,b,c,{a,b}}?
    Next, what is the set A? Without knowing that, P(A) is meaningless!
    Please correct the posting!
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  3. #3
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    sorry, I'm sitting in class right now and my math teacher really doesn't know his stuff.

    Say I have {a,b,c,{a,b}} \ P(a,b,c,{a,b}}. When pulling out the elements for the power set, I will eventually come to a {a}. Does this {a} = a from the original? I'm debating my teacher saying that these should be equal, since you're basically saying the element of a is = to the element of a. He keeps bringing up empty set is not equal to {empty set}.


    Is this any better? Sorry
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  4. #4
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    {a,b,c,{a,b}} \ P(a,b,c,{a,b}}={a,b,c}
    The only subset of {a,b,c,{a,b}} to be removed is the subset {a,b}.
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  5. #5
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    alright that's all I needed. Thank you very much
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