Page 1: Understanding Inequality Symbols and Solutions

This page introduces the fundamental concepts of inequalities in mathematics, covering both basic symbols and solving techniques. The content begins with an introduction to inequality symbols and their meanings, progressing to practical examples and solution methods.

Vocabulary: Inequality symbols include > (more than), < (less than), ≥ (more than or equal to), ≤ (less than or equal to), and = (equal to)

Example: The page demonstrates several inequality problems using number lines, such as x ≤ 7 and -x ≤ 12, showing both the algebraic and visual representations

Definition: An inequality is a mathematical statement that compares two expressions using inequality symbols to show their relationship

Highlight: When solving inequalities, the goal is to isolate the variable (x) using algebraic techniques, similar to solving equations

Example: The page shows how to solve inequalities like 4x + 7 ≤ 35, emphasizing that operations must be performed on both sides of the inequality

The page also includes important visual representations using number lines, which help students understand the continuous nature of inequality solutions. Special attention is given to the difference between solid and open dots on number lines, indicating whether endpoint values are included (≤, ≥) or excluded (<, >).