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

  • question_answer
    For the inequality \[\frac{x}{3}+\frac{x}{2}<5\], the interval is

    A) \[(-\infty ,\,6)\]  

    B) \[(-\infty ,\,6]\]

    C) \[[-\infty ,\,6)\]  

    D) \[[-\infty ,\,6]\]

    Correct Answer: A

    Solution :

    [a] \[\frac{x}{3}+\frac{x}{2}<5\Rightarrow \frac{2x+3x}{6}<5\] \[\Rightarrow \frac{5x}{6}<5\Rightarrow x<6\Rightarrow x\in (-\infty ,6)\]


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