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Question: If A and B are two sets then (A – B) ∪ (B – A) ∪ (A ∩ B) is equal to...

If A and B are two sets then (A – B) ∪ (B – A) ∪ (A ∩ B) is equal to

A

A ∪ B

B

A ∩ B

C

A

D

BB ^ { \prime }

Answer

A ∪ B

Explanation

Solution

From Venn-Euler's diagram,

(AB)(BA)(AB)=AB( A - B ) \cup ( B - A ) \cup ( A \cap B ) = A \cup B.