JEE Main & Advanced Mathematics Quadratic Equations Question Bank Critical Thinking

  • question_answer The set of values of \[x\] which satisfy \[5x+2<3x+8\] and \[\frac{x+2}{x-1}<4,\] is [EAMCET 1989]

    A) \[(2,\,3)\]

    B) \[(-\infty ,\,1)\cup (2,\,3)\]

    C) \[(-\infty ,\,1)\]

    D) \[(1,\,3)\]

    Correct Answer: B

    Solution :

    Trick: By inspection, we see that all the values of \[x\]lying in \[(-\infty ,1)\cup (2,3)\] satisfy the equations and no other value outside the interval satisfy it.

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