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.

as you answer below, remember that the natural numbers are just the counting numbers. this means that 0 is not a natural number, and negative numbers are not natural numbers either.

(a) descriptive form: the set of even natural numbers greater than or equal to 4 and less than or equal to 8.
roster form:

(b) roster form: {1, 2, 3, 4, ...}
descriptive form: select
the set of odd natural numbers less than or equal to 3.
the set of positive multiples of 3 that are greater than or equal to 6.
the set of natural numbers greater than or equal to 2 and less than or equal to 4.
the set of natural numbers.

Explanation:

Step1: Identify even naturals 4-8

Even natural numbers between 4 and 8 (inclusive) are 4, 6, 8.

Step2: Write in roster form

$\{4, 6, 8\}$

Step3: Match roster to description

The roster $\{1, 2, 3, 4, ...\}$ includes all counting numbers, which are defined as natural numbers here.

Step4: Select correct descriptive form

Choose "The set of natural numbers."

Answer:

(a) $\{4, 6, 8\}$
(b) The set of natural numbers.