JEE Main & Advanced Mathematics Linear Programming Question Bank Mock Test - Linear Inequalities

  • question_answer
    Solution of \[\frac{x-7}{x+3}>2\]is

    A) \[(-3,\,\infty )\]  

    B) \[(-\infty ,\,-13)\]

    C) (-13, -3)           

    D) None of these

    Correct Answer: C

    Solution :

    [c] \[\frac{x-7}{x+3}>2\] \[\Rightarrow \frac{x-7}{x+3}-2>0\] \[\Rightarrow \frac{-x-13}{x+3}>0\] \[\Rightarrow \frac{x+13}{x+3}<0\] \[\Rightarrow -13<x<-3\]


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