Answer to Question #244295 in Discrete Mathematics for Pruthviraj

Question

Use set builder notation to give a description of each of these sets.

a. {0, 2, 4, 6, 8,10,12,14,16}

b. {−3,−2,−1, 0, 1, 2, 3}

Answer 1

Let us use the set builder notation to give a description of the following sets.

a. $\{0, 2, 4, 6, 8,10,12,14,16\}=\{n\in\Z:0\le n\le 16\text{ and }n\text{ is even}\}.$

b. $\{−3,−2,−1, 0, 1, 2, 3\}=\{n\in\Z: |n|\le 3\}.$