Inequality Solver – Graph on Number Line & Solve Equations

Inequality Solver – Number Line Grapher

Inequality Solver

Visualize inequalities on a dynamic number line!

Build Your Inequality

x

Number Line Graph

Enter a value to generate the graph.

Waiting for input…
Open Circle (< or >)
Closed Circle (≤ or ≥)
Shaded Region

Understanding Inequalities

In algebra, we often look for a single answer, like x = 5. However, the real world is rarely that exact. Sometimes we need to describe a range of possibilities, such as “you must be at least 48 inches tall to ride” or “speed limit is 60 mph.” This is where an Inequality Solver comes in handy. Instead of an equal sign, we use symbols that show the relationship between two values.

Graphing these relationships on a number line is the best way to visualize the solution. An inequality like x > 3 means “x is any number greater than 3.” On a graph, this looks like an arrow pointing to the right, showing that the numbers go on forever in that direction. Our Inequality Solver helps you see exactly which direction to shade and what kind of circle to use.

The Circle Rule

Open Circle (○): Used for < (less than) and > (greater than). It means the number itself is NOT included.
Closed Circle (●): Used for (less than or equal to) and (greater than or equal to). It means the number IS included.

Why should middle school students use an Inequality Solver? Learning to translate math symbols into visual graphs helps build a deeper understanding of number sense. When you see x ≤ -2, visualizing the number line helps you realize that -10 is a solution, but 0 is not. This tool creates instant feedback, allowing you to test different operators and see the immediate change in the graph.

Whether you are checking homework or studying for a test, this Inequality Solver is designed to make abstract concepts concrete. Remember, the arrow on the graph always points in the same direction as the inequality symbol (if the variable is on the left!).


Frequently Asked Questions (FAQ)

What does “at least” mean?

“At least” means the value can be that number or higher. In math, we use the (greater than or equal to) symbol. For example, “at least 10” is written as x ≥ 10.

When do I flip the sign?

You only flip the inequality symbol when you multiply or divide both sides of an inequality by a negative number. This grapher shows the final result, so be sure to solve for x first!

MIDDLE SCHOOL