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

  • question_answer
    Which of the following is true?

    A) \[a\in \{\{a\},b\}\]

    B) \[\{b,c\}\subset \{a,\{b,c\}\}\]

    C) \[\{a,b\}\subset \{a,\{b,c\}\}\]

    D) None of these

    Correct Answer: D

    Solution :

    [d]a is not an element of \[\{\{a\},b\}\] \[\therefore \,\,a\notin \{\{a\},b\}\] \[\{b,c\}\] is the element of \[\{a,\{b,c\}\}\] \[\therefore \,\,\,\,\{b,c\}\in \{a,\{b,c\}\}\] \[b\in \{a,b\}\] but \[b\notin \{a,\{b,c\}\}.\] \[\therefore \,\,\,\,\{a,\,\,b\}\,\,\not\subset \,\,\{a,\,\,\{b,\,\,c\}\}\]


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