JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    If A, B and C are non-empty sets, then (A - B) U (B - A) equals                      [AMU 1992, 1998; DCE 1998]

    A) (A U B) - B

    B) \[A\text{ }-\text{ }\left( A\text{ }\cap \text{ }B \right)\]

    C) \[\left( A\text{ }\cup \text{ }B \right)\text{ }-\text{ }\left( A\text{ }\cap \text{ }B \right)\]

    D) \[\left( A\text{ }\cap \text{ }B \right)\text{ }\cup \text{ }\left( A\cup \text{ }B \right)\]

    Correct Answer: C

    Solution :

    \[\left( A\text{ }\cup \text{ }B \right)\text{ }-\text{ }\left( A\text{ }\cap \text{ }B \right)\]


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