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

  • question_answer
    The values of x which satisfy the inequalities simultaneously (i) \[-3<2x-1<19\] (ii) \[-1\le \frac{2x+3}{5}\le 3\]

    A) \[\left[ -4,\,10 \right)\]     

    B) \[\left( -1,\,6 \right]\]

    C) \[\left[ -1,\,6 \right)\]      

    D) \[(-1,\,6)\]

    Correct Answer: B

    Solution :

    [b] \[-3<2x-1<19\] \[\Rightarrow -2<2x<20\]    \[\Rightarrow -1<x<10\]    ...(1) \[-1\le \frac{2x+3}{5}\le 3\]                          \[\Rightarrow -5\le 2x+3\le 15\] \[\Rightarrow -8\le 2x\le 12\] \[\Rightarrow -4\le x\le 6\]             ...(2) Now form (1) and (2) common values are (-1.6].


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