Question

write each set in the indicated form.
if you need to use \...\ to indicate a pattern, make sure to list at least the first four elements of the set.
(a) set - builder form: {x | x is a natural number and 24 < x < 29}
roster form:
(b) roster form: {7, 8, 9, 10,...}
set - builder form: select

Explanation:

Step1: Identify natural numbers in range

Natural numbers between 24 and 29 are 25,26,27,28.

Step2: Write roster form for (a)

$\{25, 26, 27, 28\}$

Step3: Analyze roster pattern for (b)

Roster $\{7,8,9,10,...\}$ includes all natural numbers starting at 7.

Step4: Write set-builder form for (b)

$\{x \mid x \text{ is a natural number and } x \geq 7\}$

Answer:

(a) $\{25, 26, 27, 28\}$
(b) $\{x \mid x \text{ is a natural number and } x \geq 7\}$