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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    The set of values of\[x\]satisfying\[2\le \,|x-3|<4\] is:

    A)  \[(-1,1]\cup [5,7)\]

    B)  \[-4\le x\le 2\]

    C)  \[-1<x<7or\,x\ge 5\]

    D)  \[x<7or\,x\ge 5\]

    E)  \[-\infty \,<x\le 1\,or\,\,5\le x<8\]

    Correct Answer: A

    Solution :

    \[2\le |x-3|<4\] \[2\le x-3<4\]or\[2\le -(x-3)<4\] \[5\le x<7\]or\[-1\le -x\le 1\] \[\Rightarrow \]               \[5\le x<7\]or\[-1<x\le 1\] \[\therefore \]  \[x\in (-1,1]\cup [5,7).\]


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