- #1
aporter1
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Homework Statement
show that for positive r and s, with r<s, we always have:
r<(r+s)/2<s and 2/[(1/r)+(1/s)]^2< 2rs< (r+s)^2
Homework Equations
The Attempt at a Solution
i have shown that r<s because r+r<s+r, 2r<s+r, r<(s+r)/2 and 2r< (2s+2r)/4
(r+s)^2= r^2+2rs+s^2 where are<r^2+2rs+s^2
not sure if I'm even on the right track or if i have even finished the problem. I'm kinda confused.