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Math Help - What is the relation?

  1. #1
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    What is the relation?

    Hi there,
    Can someone give me a push in the right direction?

    I have this assignment I have to make, I study beta gamma with math as a major.
    This is the question:
    A is a non empty set, and X1 and X2 are equivalence relations on A. X is also an equivalence relation on A, because X = the set of the element that are X1 and X2.
    T1 is the partition of A that corresponds to X1, and T2 is the partition of A that corresponds to X2. T is the partition that corresponds to X.
    The question: What is the relation between T1, T2 and T?

    I also have to prove it, but I think I can do that myself...if I know which way to go.

    Mary
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  2. #2
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    Quote Originally Posted by MaryB View Post
    This is the question:
    A is a non empty set, and X1 and X2 are equivalence relations on A. X is also an equivalence relation on A, because X = the set of the element that are X1 and X2. T1 is the partition of A that corresponds to X1, and T2 is the partition of A that corresponds to X2. T is the partition that corresponds to X.
    The question: What is the relation between T1, T2 and T?
    Anyone majoring in mathematics needs to practice being clear in writing mathematics.
    As I understand it X=X_1\cap X_2 which is non-empty because \Delta_A\subseteq X_1\cap X_2.
    The respective partitions are T_1,~T_2~\&~T.

    I think this is what the question means.
    C \in T \Leftrightarrow \left( {\exists C_1  \in T_1 } \right)\left( {\exists C_2  \in T_2 } \right)\left[ {C = C_1  \cap C_2 } \right]
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  3. #3
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    Quote Originally Posted by Plato View Post
    Anyone majoring in mathematics needs to practice being clear in writing mathematics.
    I don't really know what you mean by that, but if you mean that my question is'nt crystal clear, well...it's literally taken from the assignments I got from my teacher. I can't make it any clearer than it is on copy's

    tnx for your explanations!
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