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 x > 5} roster form: (b) roster form: {15, 16, 17} set - builder form: select

Explanation:

Step1: Convert (a) to roster form

Natural numbers >5 start at 6: $\{6, 7, 8, 9, ...\}$

Step2: Convert (b) to set-builder form

Define x as natural number between 14 and 18: $\{x \mid x \in \mathbb{N}, 14 < x < 18\}$

Answer:

(a) $\{6, 7, 8, 9, ...\}$
(b) $\{x \mid x \text{ is a natural number and } 14 < x < 18\}$