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

  • question_answer
    If \[\left| x-2 \right|\le 1\], then

    A) \[x\in \,\left[ 1,3 \right]\] 

    B) \[x\in \,(1,3)\]

    C) \[x\in \,\left[ -1,3 \right)\]

    D) \[x\in \,(-1,3)\]

    Correct Answer: A

    Solution :

    [a] \[\left| x-2 \right|\le 1\] \[\Rightarrow -1\le x-2\le 1\] \[\Rightarrow 1\le x\le 3\] \[\Rightarrow x\in [1,3]\]


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