Question

write each set in the indicated form.
if you need to use \...\ to indicate a pattern, make sure to list at least the first four elements of the set.
(a) roster form: {3, 4, 5, 6, ...}
set - builder form: select
(b) set - builder form: {y | y is a natural number and y ≤ 3}
roster form:

Explanation:

Step1: Convert roster to set-builder

Identify pattern: integers ≥3.
Set-builder: $\{x \mid x \in \mathbb{Z}, x \geq 3\}$

Step2: Convert set-builder to roster

List natural numbers ≤3.
Roster: $\{1, 2, 3\}$

Answer:

(a) $\{x \mid x \text{ is an integer and } x \geq 3\}$
(b) $\{1, 2, 3\}$