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If A, B, C are non-empty sets, then (A - B) U (B - A) = ?

  • Option 1)

    (A U B) - B

  • Option 2)

    A - (A\cap B)

  • Option 3)

    (A \cup B) - (A\cap B)

  • Option 4)

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

 

Answers (1)

best_answer

As we have learnt,

 

Theorem on Operation -

A-(BUC)=(A-B)U(A-C)

A\cap(B-C)=(A\capB)-(A\capC)

-

 

 (A \cup B) - (A \cap B) gives us (A - B) \cup (B -A)

As seen in the venn diagram.


Option 1)

(A U B) - B

Option 2)

A - (A\cap B)

Option 3)

(A \cup B) - (A\cap B)

Option 4)

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

Posted by

Himanshu

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