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Math Help - Show whether the set equality is true via subsets

  1. #1
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    Show whether the set equality is true via subsets

    Show whether the set equality (B-A)\cup(C-A)=(B\cup C)-A is true, by demonstrating whether each side of the equality is a subset of the other.

    I'd be able to do this with membership tables and set identities, but I don't know how to do it in the manner outlined above.
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  2. #2
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    \left( {x \in B \wedge x \notin A} \right) \vee \left( {x \in C \wedge x \notin A} \right) \equiv \left( {x \in B \vee x \in C} \right) \wedge (x \notin A)
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