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Math Help - A little bit of set theory

  1. #1
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    A little bit of set theory

    I'm given an open set O, a closed set F, and an arbitrary set E;
    where E is a subset of O and F is a subset of E.

    Is it true that O~F = (E~F) union (O~E)?
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  2. #2
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    Re: A little bit of set theory

    Quote Originally Posted by director View Post
    I'm given an open set O, a closed set F, and an arbitrary set E;
    where E is a subset of O and F is a subset of E.
    Is it true that O~F = (E~F) union (O~E)?
    I assume that by O\sim F that you mean set difference.

    That is O\setminus F=O\cap F^c, if so then yes O\setminus F=(E\setminus F)\cup(O\setminus E).

    You should try to prove that.
    Thanks from director and HallsofIvy
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