CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The set {0, 1, 2, 3, ...} describes the set of _________.

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The set containing no elements is the _______, symbolized _______.

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The opposite, or negative, of a number is its _______.

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence.​​ The distance on a number line from a number to 0 is the _________ of the number.

List the elements in each set. See Example 1. {x|x is a whole number less than 6}

List the elements in each set. See Example 1. {z|z is a natural number greater than 4}

List the elements in each set. See Example 1. {z|z is an integer less than or equal to 4}

List the elements in each set. See Example 1. {a|a is an even integer greater than 8}

List the elements in each set. See Example 1. {k|k is an odd integer less than 1}

List the elements in each set. See Example 1. {p|p is a number whose absolute value is 4}

List the elements in each set. See Example 1. {x|x is an irrational number that is also rational}

Use set-builder notation to describe each set. See Example 2. (More than one description is possible.) {2, 4, 6, 8}

Use set-builder notation to describe each set. See Example 2. (More than one description is possible.) {4, 8, 12, 16,...}

Concept Check Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5,}, C = {1, 6}, and D = {4}. Find each set. a. A ∩ D b. B ∩ C c. B ∩ A d. C ∩ A

Let A = {-6, -12⁄4, -5⁄8, -√3, 0, ¼, 1, 2π, 3, √12}. List all the elements of A that belong to each set. See Example 3. Natural numbers

Let A = {-6, -12⁄4, -5⁄8, -√3, 0, ¼, 1, 2π, 3, √12}. List all the elements of A that belong to each set. Whole numbers

Let A = {-6, -12⁄4, -5⁄8, -√3, 0, ¼, 1, 2π, 3, √12}. List all the elements of A that belong to each set. Integers

Let A = {-6, -12⁄4, -5⁄8, -√3, 0, ¼, 1, 2π, 3, √12}. List all the elements of A that belong to each set. Rational numbers

Let A = {-6, -12⁄4, -5⁄8, -√3, 0, ¼, 1, 2π, 3, √12}. List all the elements of A that belong to each set. Irrational numbers

Let A = {-6, -12⁄4, -5⁄8, -√3, 0, ¼, 1, 2π, 3, √12}. List all the elements of A that belong to each set. Real numbers

Multiply or divide, as indicated. See Example 3. ((x² + x) / 5) • 25 / (xy + y)

For what value(s) of x is |x| = 4 true?

Give (a) the additive inverse and (b) the absolute value of each number. 6

Give (a) the additive inverse and (b) the absolute value of each number. -6⁄5

Give (a) the additive inverse and (b) the absolute value of each number. 0.16

Evaluate each expression. See Example 5. |-8|

Evaluate each expression. See Example 5. |3⁄2|

Evaluate each expression. See Example 5. -|5|

Evaluate each expression. See Example 5. -|-2|