Answer:
[tex]\left\{x\in \mathbb {Z}\ : \ x \le 0 \right\}[/tex]
Step-by-step explanation:
Set-Builder Notation: A shorthand used to describe sets, often sets with an infinite number of elements.
The set {...,-3, -2, -1, 0} is the set of all negative integers and 0, so you can use such set-builder notation:
[tex]\left\{x\in \mathbb {Z}\ : \ x \le 0 \right\}[/tex]
Note: Here [tex]\mathbb{Z}[/tex] represents the set of all integers.