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## Chapter 1Linear Equations and Inequalities

1.1 Properties of Real Numbers

1.2 Equations

1.3 Absolute Value Equations

1.4 Inequalities

1.5 Compound Inequalities

1.6 Absolute Value Inequalities

### 1.1 Properties of Real Numbers

Real numbers are the set of numbers made up of all rational and irrational numbers. Subsets of rational numbers include integers, whole numbers, and natural numbers.

Natural Numbers: Often called “counting numbers” {1, 2, 3, 4, ...}.

Whole Numbers: Natural numbers and 0 {0, 1, 2, 3, 4, ...}.

Integers: Whole numbers and their negatives {..., –3, –2, –1, 0, 1, 2, 3, ...}.

Rational Numbers: Numbers that can be written as a ratio of two integers and the denominator of the ratio is not 0, such as.

Irrational Numbers

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