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 odd natural numbers less than or equal to 7.
roster form:

(b) roster form: {5, 6, 7, 8, ...}
descriptive form: select

Explanation:

Step1: Identify odd natural numbers ≤7

Odd natural numbers (counting numbers, no 0/negatives) ≤7 are 1,3,5,7.

Step2: Write in roster form

$\{1, 3, 5, 7\}$

Step3: Analyze roster set $\{5,6,7,8,...\}$

The set starts at 5 and includes all subsequent natural numbers.

Step4: Write descriptive form

The set of natural numbers greater than or equal to 5

Answer:

(a) $\{1, 3, 5, 7\}$
(b) The set of natural numbers greater than or equal to 5