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JEE Main & Advanced Mathematics Linear Programming Question Bank Mock Test - Linear Inequalities

  • question_answer
    Which of the following is not the solution of \[\left| x \right|-3|>1\]?

    A) \[-2<x<2\]      

    B) \[x<-4\]

    C) \[x>4\]

    D) None of these

    Correct Answer: C

    Solution :

    [c] \[\left| \left| x \right|-3 \right|>1\] \[\Rightarrow \left| x \right|-3<-1\] or \[\left| x \right|-3>1\] \[\Rightarrow \]\[\left| x \right|<2\]or \[\left| x \right|>4\] \[\Rightarrow -2<x<2\]or \[x<-4\]or \[x>4\]          


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