Question

Prove a/b is less than b/a when 0 < a <b

Answer 1

$\frac{a}{b} < \frac{b}{a} \implies \\ a^2 < b^2 \implies a-b$

We are given that 0<a<b, which means that 0>-a>-b if you multiply it by -1, which means what's given by our inequality is true and we are done.