Question

write each set in the indicated form.
if you need to use \...\ to indicate a pattern, make sure to list at least four elements of the set.
(a) roster form: {-1, 0, 1, 2, 3}
set - builder form: select
(b) set - builder form: {x | x is an integer and x < 4}
roster form: {x | x is an integer and - 3 ≤ x ≤ 5}
{x | x is an integer and x ≥ - 2}
{x | x is an integer and - 2 < x < 4}

Explanation:

Step1: Match roster to set-builder (a)

The roster $\{-1,0,1,2,3\}$ includes integers greater than -2 and less than 4.

Step2: Convert set-builder to roster (b)

List all integers $x$ where $x<4$: $\{-3, -2, -1, 0, 1, 2, 3\}$

Answer:

(a) $\{x \mid x \text{ is an integer and } -2 < x < 4\}$
(b) $\{-3, -2, -1, 0, 1, 2, 3\}$