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Q6. Assume that P ( A ) = P ( B ). Show that  A =  B 

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Given,    P ( A ) = P ( B )

To prove :   A =  B 

Let,    x\in A

         A \in  P ( A ) = P ( B )

For some C \in P ( B )  ,  x \in C

 Here, C \subset B 

Therefore, x \in  B      and    A \subset B

Similarly we can say B \subset A.

Hence,   A =  B 

Posted by

seema garhwal

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