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  • Find sets A, B and C such that A intersection B , B intersection C and A intersection C are non empty sets and A intersection B intersection C = phi

Q. 12 Find sets A, B and C such that A \cap B, B \cap C and A \cap C are non-empty sets and A  \cap B \cap C = \phi

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Given,    A \cap B, B \cap C and A \cap C are non-empty sets

To prove : A  \cap B \cap C = \phi

Let A = {1,2}

      B = {1,3}

      C = {3,2}

Here,   A \cap B = {1}

             B \cap C = {3}

             A \cap C = {2}

and   A  \cap B \cap C = \phi

            

     

Posted by

Divya Prakash Singh

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