Алгебра

Linear Inequality Solver

Solve linear inequalities online quickly and easily. Our free Linear Inequality Solver helps you find the solution range for inequalities of the form ax + b < c, ax + b <= c, ax + b > c, and ax + b >= c. Get step-by-step solutions and visualize the results on a number line.

Solution:

Visual Representation on Number Line

-5
-2.5
0
2.5
5

Note: The number line visualization is a representation of the solution range and may not be perfectly scaled for all values.

Understanding Linear Inequalities

A linear inequality is a relationship between linear expressions that uses inequality symbols such as <, , >, or . Solving a linear inequality means finding the range of values for the variable (in this case, \'x\') that make the inequality true.

  • Form: ax + b < c, ax + b ≤ c, ax + b > c, ax + b ≥ c
  • Coefficients: \'a\' is the coefficient of x, and \'b\' and \'c\' are constants.
  • Solution: The solver determines the range of \'x\' values that satisfy the inequality.
  • Visualization: The number line visually represents this solution range, highlighting values of \'x\' that satisfy the inequality.

Use this tool to quickly calculate and visualize solutions for your linear inequalities. Enter the coefficients and select the inequality type to get started.