Is this true
$\dfrac{-1}{n}< 0 $ for all n$\in \mathbb{N}$?
Or is it false and I have to write:
$\dfrac{-1}{n}\leq 0$ for all n$\in \mathbb{N}$
Is this true
$\dfrac{-1}{n}< 0 $ for all n$\in \mathbb{N}$?
Or is it false and I have to write:
$\dfrac{-1}{n}\leq 0$ for all n$\in \mathbb{N}$
It is true that $\dfrac{-1}{n}< 0$ for all $n \in \mathbb{N}$. It is also true $\dfrac{-1}{n}\le 0$ that for all $n \in \mathbb{N}$. Moreover, since $\dfrac{-1}{n}$ is never zero, the statements are equivalent.