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.
Quick Solver
A compact workspace for fast checks, with detailed graphs and longer step lists nearby when the problem needs more room.
Quick Result
The linear inequality isolates x to the right of 2.
Interval Notation
(2, +∞)
Inequality
x > 2
Next Step
Open the detailed calculator page for the full algebra steps and graph.
Supported Marks
Linear, quadratic, absolute-value, compound, rational, and two-variable forms all have a dedicated full workspace.
Preview Rhythm
Fast first answer
The input box hydrates before the heavy graphing and step-by-step workspace code.
Focused quick patterns
Common forms are handled instantly here, while detailed solving stays on the dedicated pages.
Deep tools stay close
Number lines, coordinate planes, practice mode, history, and speech stay off the homepage critical path.
Full Workspace
Use the homepage for fast checks. Open the detailed calculator when you want full steps, graphs, interval notation, point verification, or a topic-specific workflow.
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.
One Step Inequality Calculator
Solve one-step inequalities with sign-flip detection, number line graph, and interval notation.
Two Step Inequality Calculator
Solve two-step inequalities with the sign-flip rule, number line, and interval notation.
Multi Step Inequality Calculator
Solve multi-step inequalities with distribution, combining like terms, variable collection, and sign-flip detection.
Fraction Inequality Calculator
Solve inequalities with fraction coefficients using the LCD clearing method, with steps, number line, and interval notation.
Number Line Inequality Calculator
Graph any inequality on a number line with open and closed endpoint detection, shading direction, and interval notation output.
Quadratic Inequality Calculator
Solve quadratic inequalities with sign analysis, roots, interval notation, and a number-line graph.
Polynomial Inequality Calculator
Solve cubic, quartic, and higher-degree inequalities with sign charts, multiplicity detection, and interval notation.
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.
Inequality to Interval Notation Calculator
Convert any inequality to interval notation with bracket rules, endpoint logic, and number line output.
System of Inequalities Calculator
Graph 2 to 6 inequalities, highlight the feasible region, find corner points, and solve linear-programming objectives with steps.
Sketch
How it works
Type or tap an inequality with <, >, <=, >=, powers, absolute-value bars, fractions, or x-y graphing terms.
Solve
How it works
Watch the calculator isolate the variable, identify critical points, or rewrite a linear boundary for coordinate-plane graphing.
Check
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.
How to Solve Two-Step Inequalities
A practical guide to isolating the variable in two moves — with sign-flip rules, worked examples, and number line graphs.
Inequality Symbols
What every inequality symbol means, how strict and inclusive symbols differ, and how they connect to interval notation and number line graphs.
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 open and closed circles, shading direction, and compound inequality graphs — with worked examples for every pattern.
Inequalities on a Number Line
How to read, draw, and interpret every inequality type on a number line — from single rays to compound intervals and union graphs.
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.
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.