Unlock Linear Inequalities with Ease

Enter your inequality and let our solver guide you to the solution, visualized on a number line.

Enter your Linear Inequality

Use 'x' as the variable. Operators: <, <=, >, >=.

Solution Set

Solution Visualization

-∞

+∞

All Real Numbers

No Solution

Understanding Linear Inequalities

A linear inequality is a statement that compares two linear expressions using inequality symbols such as <, <=, >, or >=. Solving a linear inequality means finding the set of all numbers that make the inequality true. The solution is often represented in interval notation and can be visualized on a number line.

Interval Notation Examples:

x > 2 is represented as (2, ∞) - all numbers greater than 2 (excluding 2).
x <= -1 is represented as (-∞, -1] - all numbers less than or equal to -1 (including -1).
2 < x < 5 is represented as (2, 5) - all numbers between 2 and 5 (excluding 2 and 5).

This tool helps you solve linear inequalities and provides the solution set in interval notation, along with a visual representation on a number line to enhance understanding.