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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 19

  • question_answer
    If \[-4\le x<2,\] then \[||x+2|-5|\] lies in the interval

    A) \[(1,\,5]\]                

    B)        \[[1,\,5]\]                 

    C) \[(2,6]\]                

    D)        \[[5\,,8)\]

    Correct Answer: A

    Solution :

    [a] \[-4\le x<2\] \[\Rightarrow \,\,\,\,-2\le x+2<4\] \[\Rightarrow \,\,\,0\le \,|x+2|<4\] \[\Rightarrow \,\,-5\le \,|x+2|-5<-1\] \[\Rightarrow \,\,\,1\le ||x+2|-5|\le 5\]


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