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: {x | x is an integer and -2 < x < 4}
(b) set - builder form: {y | y is an integer and y ≥ -3}
roster form:

Explanation:

Step1: Identify starting element

The smallest integer $y$ satisfying $y\geq-3$ is $-3$.

Step2: List next 3 elements

Next integers are $-2, -1, 0$.

Step3: Indicate infinite pattern

Add "$...$" to show the set continues infinitely with increasing integers.
Final set: $\{-3, -2, -1, 0, ...\}$

Answer:

$\{-3, -2, -1, 0, ...\}$