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Discussion :: Sets, Relations and Functions

  1.  Which of the following statements is TRUE?

  2. A.

    For all sets A, B, and C, (A − B) ∩ (C − B) = (A ∩ C) − B.

    B.

    For all sets A, B, and C, (A − B) ∩ (C − B) = A − (B ∪ C).

    C.

    For all sets A, B, and C, A − (B − C) = (A − B) − C.

    D.

    For all sets A, B, and C, if A ∪ C = B ∪ C then A = B. 

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    Answer : Option A

    Explanation :

    For all sets A, B, and C, (A − B) ∩ (C − B) = (A ∩ C) − B.


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