I was wondering if you could help me with a trivial problem with inequalities that my teacher didn't really explain.
Take for example: $3^n+2 ≤ 3^{n+1}$. How can I formally prove something as trivial as that inequality. (For $n \in \mathbb{N}$).
Along the same lines; how to I prove that $n<2^n$. This assertation is naturally obvious, but how am I supposed to formalize the demonstration besides trying case by case and induction? Thanks.