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Math Help - Prove whether the set property is always true, always false, or sometimes true or fal

  1. #1
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    Prove whether the set property is always true, always false, or sometimes true or fal

    Q: If B is a proper subset of C, then C - A does not equal the empty set. Is this statement always true, always false, or sometimes true and sometimes false? Explain.

    I get that if B is a proper subset of C, then there must be at least one element within the set C that doesn't belong in set B. And for C - B to take place, I explained that x must be a member of C and can't be a member of A. But I really don't know how to tie these relations together. Am I getting hot or cold?
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  2. #2
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    Re: Prove whether the set property is always true, always false, or sometimes true or

    And for C - B to take place, I explained that x must be a member of C and can't be a member of A.
    You mean, C - A.

    Consider the situations when A = C and A = B.
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