Question

Use set builder notation to represent the following set. {... -3, -2, -1, 0}

Answer 1

Answer:

$\left\{x\in \mathbb {Z}\ : \ x \le 0 \right\}$

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:

$\left\{x\in \mathbb {Z}\ : \ x \le 0 \right\}$

Note: Here $\mathbb{Z}$ represents the set of all integers.