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 ≥ 4} roster form: (b) roster form: {1, 2, 3, 4} set - builder form: select

Explanation:

Step1: Convert set-builder to roster

Natural numbers $\geq4$ start at 4: $\{4, 5, 6, 7, ...\}$

Step2: Convert roster to set-builder

Define $x$ as natural number, $1\leq x\leq4$: $\{x \mid x \in \mathbb{N}, 1 \leq x \leq 4\}$

Answer:

(a) $\{4, 5, 6, 7, ...\}$
(b) $\{x \mid x \text{ is a natural number and } 1 \leq x \leq 4\}$