1. The problem statement, all variables and given/known data 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 2. Relevant equations 3. 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.