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JEE Main & Advanced Mathematics Sets Question Bank Mock Test - Sets

  • question_answer
    The set \[(A\cap B')'\cup (B\cap C)\]is equal to

    A) \[A'\cup B\cup C\]          

    B) \[A'\cup B\]

    C) \[A'\cup C'\]       

    D) \[A'\cap B\]

    Correct Answer: B

    Solution :

    [b] \[(A\cap B')'\cup (B\cap C)=((A'\cup (B')')\cup (B\cap C)\]     \[=(A'\cup B)\cup (C\cap B)\]     \[=A'\cup (B\cup (C\cap B))\]      \[=A'\cup B\]


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