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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let's look at something a bit simpler ... note that $\displaystyle \dfrac{1}{2} > \dfrac{1}{3}$ now, what is the relationship between their reciprocals?
Originally Posted by skeeter let's look at something a bit simpler ... note that $\displaystyle \dfrac{1}{2} > \dfrac{1}{3}$ 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; Mar 12th 2011 at 12:22 PM. Reason: new insight
I'm pretty sure that's it. Thank you!
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