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) roster form: {1, 2, 3, 4}

descriptive form: select

(b) descriptive form: the set of even natural numbers greater than or equal to 6.

roster form:

there are some operation buttons at the bottom right, omitted here

Explanation:

Step1: Match roster to descriptive form

The roster $\{1,2,3,4\}$ is all natural numbers between 1 and 4, including both endpoints.

Step2: Translate descriptive to roster form

Identify even natural numbers ≥6: start at 6, list next 3 even numbers, add ... for pattern.
Expression: $\{6, 8, 10, 12, ...\}$

Answer:

(a) The set of natural numbers from 1 to 4 inclusive
(b) $\{6, 8, 10, 12, ...\}$