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Math Help - Solving an interval for s^2

  1. #1
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    Solving an interval for s^2



    I'm trying to understand what's happening here, and particurlarly why the signs change. I think: "take all sides to the power ^-1". But then the signs shouldn't change... i'm so perplexed
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  2. #2
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    let's look at something a bit simpler ...

    note that \dfrac{1}{2} > \dfrac{1}{3}

    now, what is the relationship between their reciprocals?
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  3. #3
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    Quote Originally Posted by skeeter View Post
    let's look at something a bit simpler ...

    note that \dfrac{1}{2} > \dfrac{1}{3}

    now, what is the relationship between their reciprocals?

    Wait: do you suggest that if you take something to the power minus one [ c^-1] the relationship relative to other value changes as well.

    so,

    4 > 3
    1/4 < 1/3

    Aha!
    Last edited by iBurger; March 12th 2011 at 12:22 PM. Reason: new insight
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  4. #4
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    I'm pretty sure that's it. Thank you!
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