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SSC Sample Paper Mock Test-3 SSC CGL Tear-II Paper-1

  • question_answer
    Find the value of x, when\[\left| x-5\left| =5-x \right. \right.\]

    A)  \[x=5\]            

    B)  \[x<5\]

    C)  \[x>5\]            

    D)  \[x=5\] or \[x<5\]

    Correct Answer: D

    Solution :

    As,\[\left| x-5\left| \,=5-x \right. \right.\] \[\Rightarrow \]\[\left| x-5\left| \,=-(x-5) \right. \right.\] Since, \[\left| a\left| \,=-\,\,a \right. \right.\]if \[a\le 0\] So above is true, if \[(x-5)\le 0\]or \[x\le 5\] i.e., \[x=5\] or \[x=<5\]


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