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JEE Main & Advanced Mathematics Sets Question Bank Self Evaluation Test - Sets

  • question_answer
    If A and B are subsets of a set X, then what is \[\{A\cap (X-B)\}\cup B\] equal to?

    A) \[A\cup B\]

    B) \[A\cap B\]

    C) A                                 

    D) B

    Correct Answer: A

    Solution :

    [a]Since, A and B are subsets of set X therefore \[A\subseteq X\,\,and\,\,B\subseteq X\] Consider \[\{(A\cap (X-B)\}\cup B\] \[=(A\cap B')\cup B\] \[=A\cup B\]      \[(\because \,\,B'\cap B=B)\]                   


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