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Math Help - Inequality

  1. #1
    Super Member craig's Avatar
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    Inequality

    Hi, could someone give me hand solving this inequality, not sure what to do.

    \frac{x}{2} > 2 + \frac{9}{x}

    Multiply by 2

    x > 4 + \frac{18}{x}

    Rearrange a little

    \frac{18}{x} + 4 - x < 0

    Not sure where to go from here? Would the best method to multiply by x^2 or is there a better way?

    Thanks in advance
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  2. #2
    MHF Contributor
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    You can multiply by x^2, since x \neq 0 and hence x^2 is positive. I personally don't see a better way.
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  3. #3
    Super Member craig's Avatar
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    Quote Originally Posted by icemanfan View Post
    You can multiply by x^2, since x \neq 0 and hence x^2 is positive. I personally don't see a better way.
    Yeh that's what I was thinking. Thanks.
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