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Math Help - Set/Function Proof Question

  1. #1
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    Set/Function Proof Question

    A, U, B are sets and is an empty set.

    I'm asked to prove that if (U = intersection of A and B) and (intersection of A and B = ) then A = U\B.


    I'm not sure how to begin solving this problem.
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  2. #2
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    Quote Originally Posted by spruancejr View Post
    A, U, B are sets and is an empty set.

    I'm asked to prove that if (U = intersection of A and B) and (intersection of A and B = ) then A = U\B.
    Please review what you posted.
    The blue and read both say intersection. Is that right?
    If so, the question is nonsense.
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  3. #3
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    You're right, it's supposed to be if (U = union of A and B) and (intersection of A and B = ) then A = U\B.
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  4. #4
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    Take note that U\setminus B=U\cap B^c=(A\cup B)\cap B^c=?
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