Prove that for each integer $\displaystyle m$, the set $\displaystyle S=\{i \in \mathbb{Z}: i\geq m \}$ is well-ordered. [Hint: For every subset $\displaystyle T$ of $\displaystyle S$, either $\displaystyle T \subseteq N$ or $\displaystyle T-N$ is a finite nonempty set.]

I know how to prove this, but I have a simple question.

Question: Did the author mean $\displaystyle T \subseteq \mathbb{Z}$ or $\displaystyle T-\mathbb{Z}$?