Linear Inequality Solver

Easily solve linear inequalities of the form ax + b < c, ax + b ≤ c, ax + b > c, or ax + b ≥ c. Visualize the solution on a number line.

Coefficient of x (a)

Constant term (b)

Constant term (c)

Inequality Type

Solution:

Visual Representation on Number Line

-5

-2.5

2.5

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.