If A,B,C are three sets such that (A∪C)⊂(A∪B) , (A∩C)⊂(A∩B) then C⊂B. Then which of the following is true? 

If A,B,C are three sets such that (AC)(AB) , (AC)(AB) then CB. Then which of the following is true? 

  1. A

    It holds good but converse is not true.

  2. B

    Converse is also true. 

  3. C

    C has to be a null set.

  4. D

    C=B

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    Solution:

    If A, B, and C are three sets such that (AC)(AB)(AC)(AB) then CB  

    It holds good and converse is also true .

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