# Math Help - Solving an interval for s^2

1. ## 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

2. let's look at something a bit simpler ...

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

now, what is the relationship between their reciprocals?

3. Originally Posted by skeeter
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!

4. I'm pretty sure that's it. Thank you!