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Math Help - Proving Set Relationships

  1. #1
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    Proving Set Relationships

    Hello everyone,

    I'm stuck on this problem, not sure where to start, any help would be appreciated. I don't know how to put in the "is a subset" symbols in this but hopefully I can explain it well enough for you to understand:

    For all subsets A,B, and C of some universal set U, A "is a subset" of B U C if and only if A "is a subset" B or A "is a subset" C.

    Of course, the U between the B and C is a union, in case that threw some people off.

    Thanks!
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  2. #2
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    Re: Proving Set Relationships

    Nevermind...solved it
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  3. #3
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    Re: Proving Set Relationships

    Quote Originally Posted by Measure13 View Post
    For all subsets A,B, and C of some universal set U, A "is a subset" of B U C if and only if A "is a subset" B or A "is a subset" C.
    This is false. Take any two nonempty disjoint sets B and C and let A = B ∪ C.
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