JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    Let A and B be subsets of a set X. Then

    A) \[A-B=A\cup B\]

    B) \[A-B=A\cap B\]

    C) \[A-B={{A}^{c}}\cap B\]

    D) \[A-B=A\cap {{B}^{c}}\]

    Correct Answer: D

    Solution :

    \[A-B=\{x:x\in A\]and \[x\not{\in }B\}\] \[=\{x:x\in A\]and \[x\in {{B}^{c}}\}=A\cap {{B}^{c}}\].


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