For any two sets A and B, if A∩X=B∩X=ϕ and A∪X=B∪X for some set X, then

For any two sets A and B, if AX=BX=ϕ and AX=BX for some set X, then

  1. A

    AB=AB

  2. B

    A=B

  3. C

    BA=AB

  4. D

    None of the above

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    Solution:

    Given ,AX=BX=ϕ

    So, A and X, B and X are disjoint sets. 

    Also AX=BXA=B

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