Algebra
Linear Inequality Solver
Solve linear inequalities step-by-step with our interactive solver. Visualize solutions on a number line and understand interval notation. Easy and free!
Use \'x\' as the variable. Operators: <, <=, >, >=.
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.