Q9. Using properties of sets, show that

(i) A \cup ( A \cap B ) = A

Answers (1)

(i) A \cup ( A \cap B ) = A

We know that  A \subset A

            and       A \cap B \subset A

          A \cup ( A \cap B )  \subset  A

and also , A \subset  A \cup ( A \cap B )

Hence,  A \cup ( A \cap B ) = A

          

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