> 
> I have to prove by induction this inequality for $n > 10$:
>  $$n-2 < \frac{n^2 - n}{12}$$
> 
> 
> 

I have no idea how to start proving it. I only know that, if n=11 the inequality is true. Now, if $n:= n+1$ (inductive thesis) , what proceeds?