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1. The problem statement, all variables and given/known data

The question states: Let rεQ+ Prove that if (r^2+1)/(r)≤1, then (r^2+2)/(r)≤2.

I wanted to prove it trivially by proving it is true for all Q(x). would this be a correct way?

2. Relevant equations

3. The attempt at a solution

Since (r^2+2)/(r)≤2= (r-1)^2+1≤ 0 it follows (r-1)^2≤-1 for all rεQ+. Therefore (r^2+2)/(r)≤2.

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# Homework Help: Simple proof help?

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