Solve Any Inequality Instantly
Math should feel like magic, not misery. Enter a linear, quadratic, absolute-value, rational, system, or linear two-variable inequality and get steps, notation, and a live graph in real time.
Realtime Solver
Linear, quadratic, absolute-value, rational, system, and coordinate-plane inequality support.
Supported Inputs
- 2x + 3 > 7 for linear inequalities
- x^2 - 5x + 6 < 0 for quadratic sign analysis
- |x - 2| <= 4 for absolute value
- (x + 1) / (x - 2) > 0 for rational sign charts
- x > 2; x <= 5 for one-variable systems
- 2x + 3y < 6 for coordinate-plane graphing
- x >= 0; y >= 0 for a two-variable system
Math Keyboard
Tap symbols if you do not want to use the keyboard.
Result
The linear inequality isolates x > 2.
Original
Interval Notation
Set Notation
Number Line
Drag to pan. Use the controls or mouse wheel to zoom the view.
Value Checker
Test a number against the computed solution set.
Steps
Move through the reasoning one step at a time or expand everything.
Move all terms to one side
Step 1 / 3Rewrite the inequality so the right-hand side is zero.
Share & Embed
Static URLs carry the current problem, so links work without a backend.
Embed code
Use this on a blog post, lesson page, or classroom resource.
<iframe src="https://inequalitycalculator.net/?q=2x+%2B+3+%3E+7" width="100%" height="980" style="border:0;border-radius:24px;overflow:hidden;" loading="lazy" title="Inequality Calculator"></iframe>Recent History
Saved locally in this browser. No backend required.
Practice Mode
Generate a fresh problem and solve it yourself first
Pick a skill, work the problem on paper or in the notes box, then reveal the answer and load it into the calculator for a full walkthrough.
Prompt
Isolate x carefully, and remember that dividing by a negative flips the inequality.
Your Work
Write your answer first, then compare it with the official result below.
Answer
Keep this hidden until you are ready to check.
Calculator Cluster
Choose the exact inequality tool you need
Linear Inequality Calculator
Solve one-variable linear inequalities with steps, interval notation, and a clean number-line graph.
Quadratic Inequality Calculator
Solve quadratic inequalities with sign analysis, roots, interval notation, and a number-line graph.
Absolute Value Inequality Calculator
Solve absolute value inequalities with case splitting, interval notation, and step-by-step explanations.
Compound Inequality Calculator
Solve compound inequalities with interval intersection, union logic, and graph output.
Rational Inequality Calculator
Solve rational inequalities with steps, excluded values, sign charts, and interval notation.
Graphing Inequalities Calculator
Graph linear, quadratic, and absolute value inequalities in two variables with shading, dashed or solid boundaries, and system overlap tools.
Interval Notation Calculator
Convert inequalities to interval notation and back with steps, number-line visuals, bracket rules, and interval set operations.
System of Inequalities Calculator
Graph 2 to 6 inequalities, highlight the feasible region, find corner points, and solve linear-programming objectives with steps.
How it works
Type or tap an inequality with <, >, <=, >=, powers, absolute-value bars, fractions, or x-y graphing terms.
How it works
Watch the calculator isolate the variable, identify critical points, or rewrite a linear boundary for coordinate-plane graphing.
How it works
Use the graph, notation, checker tools, and practice mode to confirm the final solution or shaded half-plane.
Learn
Build topic authority with deep inequality guides
Each guide is designed to cover a key search intent: definitions, rules, worked examples, graphing, and notation. That keeps the site useful for both search engines and actual students.
How to Solve Inequalities
A complete guide covering the core inequality rules, when to flip the sign, and how to solve linear, multi-step, compound, fraction, absolute value, quadratic, and rational inequalities.
Inequality Symbols: Complete Guide
A reference guide for reading inequality symbols correctly and mapping them to number-line endpoints.
Interval Notation Explained
A compact guide to parentheses, brackets, infinity, and multi-interval answers.
How to Graph Inequalities on a Number Line
A visual guide to drawing one-variable inequality solutions clearly and correctly.
Compound Inequalities: AND vs OR
A focused explanation of overlap logic for chained and split inequalities.
Absolute Value Inequalities Explained
A practical explanation of translating absolute-value statements into linear inequalities.
Inequalities Word Problems with Solutions
A guide for moving from English conditions to algebraic inequalities without losing the meaning of the problem.
Inequality Rules: What Changes When You Multiply by Negative?
A concept-first explanation of the most important rule in one-variable inequality solving.
FAQ
Common questions about solving inequalities
What types of inequalities does this calculator solve?
The calculator solves linear, quadratic, absolute-value, rational, compound, and one-variable system inequalities, plus linear two-variable inequalities for coordinate-plane graphing. It explains the algebra and shows the matching graph.
Does the inequality calculator show steps?
Yes. Every supported inequality includes step-by-step reasoning so students can see how the expression is rearranged, where critical points come from, and why each interval is included or excluded.
Can I use the calculator for interval notation?
Yes. Every solution includes interval notation and set notation. If the answer is all real numbers or no solution, the calculator states that clearly.
When does the inequality sign flip?
The sign flips only when you multiply or divide both sides by a negative number. The calculator highlights that rule in the step list when it applies.
Does the calculator support graphing inequalities?
Yes. One-variable inequalities appear on an animated number line, and linear two-variable inequalities appear on a coordinate plane with a shaded half-plane and solid or dashed boundary line.
Is this inequality calculator free?
Yes. The core calculator, steps, graph, and notation outputs are free to use on desktop and mobile.
Can the calculator solve quadratic inequalities with two roots?
Yes. When a quadratic has two real roots, the calculator identifies the critical points, tests the intervals they create, and shows the final answer in both notation and graph form.
Can I share a solved inequality with someone else?
Yes. The current problem can be stored in the URL query string, so you can copy the link or the iframe embed code and send the exact same setup to students, teammates, or readers.
Can the calculator solve rational inequalities?
Yes. The current release supports rational inequalities that can be analyzed with a sign chart, such as (x + 1) / (x - 2) > 0.
Can I solve a system of inequalities?
Yes. Separate each inequality with a semicolon, a new line, or the word and. One-variable systems are intersected on the number line, and linear two-variable systems are graphed as a shared feasible region.
Does the calculator work for two variables?
Yes. Enter a linear inequality such as 2x + 3y < 6 or y >= -x + 4 and the calculator will graph the correct half-plane on a coordinate grid. It also supports linear two-variable systems entered with semicolons.
Can I test whether a point satisfies a two-variable inequality?
Yes. When the result is graphed on the coordinate plane, the point checker lets you enter an x-value and y-value to verify whether that coordinate lies in the shaded region.
What is the difference between open and closed endpoints?
Open endpoints are used for strict inequalities like < and >, while closed endpoints are used for inclusive inequalities like <= and >=.
Why is the boundary line dashed for some graphs?
A dashed boundary means points on the line are not part of the solution set because the inequality is strict. A solid boundary means the line itself is included.
Can the calculator handle absolute value inequalities with steps?
Yes. Absolute value inequalities include case-splitting steps so you can see why the answer becomes either an overlap or an outside union.
Do I need to click a solve button?
No. The calculator updates in real time as you type, so the steps, notation, and graph refresh automatically.
Can I use LaTeX-style input?
Basic math-friendly input is supported, including symbols such as \le, \ge, powers, multiplication marks, and absolute-value bars.
Does the calculator keep my history?
Yes. The latest calculations are stored locally in your browser so you can reload recent problems without creating an account.
Does the calculator have a practice mode?
Yes. Practice mode can generate fresh linear, quadratic, absolute-value, rational, system, compound, and graphing prompts so learners can solve first and then compare with the official answer.
What is focus mode?
Focus mode opens the calculator in a full-screen overlay that removes the surrounding page sections so you can work through a problem with fewer distractions.
Can the calculator read the steps aloud?
Yes on supported browsers. The steps panel includes a built-in audio reader powered by the Web Speech API, so you can play, pause, resume, or stop the walkthrough.
Can I export the graph image?
Yes. Both number-line graphs and coordinate-plane graphs can be downloaded as SVG or PNG directly from the browser.
Can I export my saved history to PDF?
Yes. The history panel can open a print-ready export view so you can save the latest calculations as a PDF from the browser's print dialog.
Does the site support dark mode?
Yes. The theme can follow your system setting or be switched manually, and the choice is stored locally on your device.
Can teachers embed this calculator in a lesson page?
Yes. The share panel generates an iframe snippet so the calculator can be embedded in static lesson pages, blogs, or classroom resources.
What happens when I multiply an inequality by a negative number?
The inequality symbol flips direction. The calculator calls out that rule explicitly in the step list whenever it applies.
Does the calculator work on mobile?
Yes. The interface is mobile-first, with a tap-friendly math keyboard, responsive graphs, and copyable share links that work on phones and tablets.
Can I use this calculator for homework checking?
Yes. It is useful for checking answers and understanding the method, but you should still review each step so you know why the solution works.
SEO Topics
Study paths people actually search for
Inequality Calculator is an online inequality calculator for students who need more than a final answer. It works as a free inequality solver with steps for homework, revision, and classroom review, pairing algebraic moves with interval notation, graph output, and plain-language explanations. If you need a quick check, you can start with the linear inequality calculator. If you are studying graphs, the graphing inequalities calculator for teachers and learners makes shading, boundary style, and test points easier to verify.
The site also covers the longer-tail topics that usually appear in algebra practice and test prep: an interval notation calculator for algebra practice, a compound inequality calculator for test prep, a quadratic inequality calculator with graph, and a rational inequality calculator with sign chart. Because the layout is responsive, it also works well as a mobile inequality calculator for SAT and ACT prep when you are checking examples between classes. If you want guided explanations instead of only tool output, open the learning center, then follow the related calculator links or contact the team with a specific math-tool question.