JEE Main & Advanced Mathematics Equations and Inequalities Question Bank Self Evaluation Test - Linear Inequalities

  • question_answer
    The inequality representing the following graph is

    A) \[\left| x \right|<3\]

    B) \[\left| x \right|\le 3\]

    C) \[\left| x \right|>3\]

    D) \[\left| x \right|\ge 3\]

    Correct Answer: A

    Solution :

    [a] The shaded region in the figure lies between \[x=-3\] and \[x=3\] not including the line \[x=-3\] and \[x=3\] (lines are dotted) Therefore  \[-3<x<3\] \[\Rightarrow \left| x \right|<3\]            \[[\because \,\,\,\left| x \right|<a\Leftrightarrow -a<x<a]\]


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