Show that for any sets A and B, A = ( A ∩ B ) ∪ ( A - B ) and A ∪ ( B - A ) = ( A ∪ B )

Question

Show that for any sets A and B, A = ( A ∩  B )  ∪ ( A - B ) and A ∪ ( B - A ) =  ( A ∪ B )

Accepted Answer

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Question 6