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) set - builder form: {x | x is an integer and 4 < x < 8}
roster form:
(b) roster form: { - 5, - 4, - 3, - 2,...}
set - builder form:
{y | y is an integer and - 5 < y < - 2}
{y | y is an integer and y ≥ - 6}
{y | y is an integer and y > - 6}
{y | y is an integer and y ≤ - 2}

Explanation:

Step1: Identify integers for (a)

Integers where $4

Step2: Write roster form for (a)

$\{5, 6, 7\}$

Step3: Analyze roster for (b)

Roster $\{-5,-4,-3,-2,...\}$ includes integers greater than -6.

Step4: Match to set-builder

$\{y \mid y \text{ is an integer and } y > -6\}$

Answer:

(a) $\{5, 6, 7\}$
(b) $\{y \mid y \text{ is an integer and } y > -6\}$