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Home  >>  AIMS  >>  Class11  >>  Math  >>  Sets

A and B be sets. If A $ \cap $ X = B $ \cap $ X = $ \phi $ and A $ \cup $ X = B $ \cup $ X for some set X, show that A = B. \[\] (Hints A = A $ \cap $ (A $ \cup $ X), B = B $ \cap $ (B $ \cup $ X) and use distributive law)

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