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Thread: C\(a\b)=(c/a)u(c\b)

  1. #1
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    C\(a\b)=(c/a)u(c\b)

    Is this equality true and if it is how to prove it. C\(A\B)=(C\A)U(C\B).
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  2. #2
    MHF Contributor Unknown008's Avatar
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    Is this it?

    $\displaystyle C(A|B) =(C|A) \cup (C|B)$

    ?
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  3. #3
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    A\B={ x∈A and x∉B }
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  4. #4
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    It is not true.

    $\displaystyle C\setminus(A\setminus B)=C\cap(A^c\cup B)=(C\cap A^c)\cup (C\cap B)$

    That is $\displaystyle C\setminus(A\setminus B)\not=(C\setminus A)\cup (C\setminus B)$
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