Question

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

Answer 1

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

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.