Math 152-A Sect. 1.2-1.3

The Number Line; Absolute Value; Inequalities

Properties of Real Numbers

 

Definitions

 

Positive Number

 

 

 

Negative Number

 

 

 

Coordinate

 

 

Opposite

 

 

Double negative rule

 

 

 

Absolute value

 

 

 

Symbols of Inequality

 

Symbol

Meaning

Example

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Double Inequality

 

 

 

 

 

Properties of Equality

 

Property

Description

Reflexive

 

 

Symmetric

 

 

Transitive

 

 

Substitution

 

 

 

 

Properties of Inequalities

 

Property

Description

Trichotomy

 

 

Transitive

 

 

 

Properties of Addition & Multiplication

 

Property

Addition

Multiplication

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Distributive Property

 

 

 

 

Multiplication Property of Zero