Algebra
Linear Inequality Grapher
Visualize linear inequalities with one variable on an interactive number line. Easily graph inequalities like ax + b > c, ax + b < c, ax + b ≥ c, and ax + b ≤ c.
Supported formats: ax + b > c, ax + b < c, ax + b >= c, ax + b <= c
Solution:
Error:
Understanding Linear Inequalities
A linear inequality compares a linear expression to a constant using inequality symbols such as <, >, ≤, or ≥. Solving a linear inequality means finding the range of values for the variable that satisfy the inequality.
How to Use This Tool
- Enter your linear inequality in the input box. For example:
2x - 1 < 5or-3x + 2 >= 8. - Click the "Visualize" button to solve the inequality and display the solution on the number line.
- The solution will be shown both as text (e.g., x < 3) and graphically on the number line.
- Use the "Copy Solution" button to copy the text solution to your clipboard.
- "Reset" will clear the input and the visualization.
This tool helps visualize the solution set of linear inequalities, making it easier to understand the range of values that satisfy the given condition. The interactive number line provides a clear graphical representation of the solution.
Frequently Asked Questions
What is the Linear Inequality Grapher?
The Linear Inequality Grapher is an online Algebra calculator. You enter your values, and it returns the answer with the steps shown so you can follow along.
How accurate is the Linear Inequality Grapher?
The solver uses a math engine that avoids the floating-point rounding errors you get from most hardware calculators. For typical homework and professional calculations, the results will match what you would get by hand.
Can I use the Linear Inequality Grapher for professional Algebra projects?
Yes. The math behind it is standard Algebra, so the results are reliable for professional use. That said, always double-check that your inputs are in the right format before relying on the output.
Why use the Linear Inequality Grapher instead of calculating by hand?
Manual calculation is slow and error-prone, especially with multiple steps. This tool does the arithmetic for you and shows each step, so you can catch mistakes before they carry forward.
How do I format my inputs for the Linear Inequality Grapher?
Type your numbers into the input fields. Leave out units and symbols unless a field specifically asks for them. The solver handles the rest.