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: {4, 5, 6, 7}

descriptive form: select

(b) descriptive form:

roster form:
the set of natural numbers greater than or equal to 4 and less than or equal to 7.
the set of natural numbers less than or equal to 7.
the set of positive multiples of 4.
the set of even natural numbers greater than or equal to 4 and less than or equal to 6.

Explanation:

For (a), the roster set $\{4,5,6,7\}$ includes all natural numbers from 4 to 7 inclusive, which matches the corresponding descriptive form. For (b), the descriptive form specifies natural numbers between 4 and 7 (inclusive), so the roster form lists those exact numbers.

Answer:

(a) Descriptive form: The set of natural numbers greater than or equal to 4 and less than or equal to 7.
(b) Roster form: $\{4, 5, 6, 7\}$