2-4: Solving Simple Inequalities

Part 1

Intro

An inequality is a mathematical sentence that uses the <, ≤, >, ≥, or ≠ symbol to compare the values of two expressions. You will learn to recognize word phrases that indicate an inequality. For example, is fewer than indicates the symbol <.

Symbol

Meaning

<

less than

less than or equal to

>

greater than

greater than or equal to

not equal to

A solution of an inequality is any value of the variable that makes the inequality true. The Solution Set contains all of the numbers that satisfy an inequality. You can use a number line graph to indicate all of the solutions of an inequality with one variable.

The solutions of the inequality x<3 are all numbers less than 3.

A number line shaded to the left of an open dot at 3. The open dot shows that 3 is not a solution.

The solutions of the inequality x ≤ 3 are all numbers less than 3 or equal to 3.

A number line shaded to the left of a closed dot at 3. The closed dot shows that 3 is a solution.


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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties