This document provides an introduction to inequalities and intervals. It defines inequalities as ranges of values rather than single numbers, showing that a quantity is greater than or less than another. Symbols for inequalities like <, >, ≤, ≥ are introduced. Compound inequalities representing values between two numbers are explained. Interval notation is defined using brackets and parentheses to indicate whether endpoints are included or not. Examples of writing inequalities as intervals and graphing intervals on number lines are provided.