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

  • question_answer
    Solution of \[\left| x-1 \right|\ge \left| x-3 \right|\] is

    A) \[x\le 2\]

    B) \[x\ge 2\]

    C) \[[1,3]\] 

    D) None of these

    Correct Answer: B

    Solution :

    [b] \[\left| x-1 \right|\] is the distance of x from 1. \[\left| x-3 \right|\] is the distance of x from 3. The point \[x=2\] is equidistant from 1 and 3. Hence, the solution consists of all \[x\ge 2.\]


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