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Math Help - Set Equalities

  1. #1
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    Set Equalities

    Are the following true? If false, why?


    A - (B union C) = (A - B) union (A - C)

    A intersect (B - C) = (A intersect B) - (A intersect C)


    Any help is appreciated!
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  2. #2
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    Quote Originally Posted by jstarks44444 View Post
    Are the following true? If false, why?
    A - (B union C) = (A - B) union (A - C)
    Here is a hint on this one.
    A\setminus (B\cup C)=A\cap(B^c\cap C^c).

    \overline{A}=A^c means complement.
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