Linear Inequality Calculator

Enter the X, Y, Z values ​​to calculate：
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A Linear Inequality Calculator is a tool that helps solve and graph linear inequalities, which are mathematical expressions involving a linear function (involving variables like x or y) and inequality symbols (such as <, ≤, >, or ≥).

1. What is a Linear Inequality?

A linear inequality is similar to a linear equation but instead of equality, it expresses a relationship where one side is either greater than or less than the other. For example:

  • 2x+3<5
  • 3x−7≥2

These inequalities represent a range of values for the variable(s), rather than a single solution like equations.

2. Why Use a Linear Inequality Calculator?

A Linear Inequality Calculator is used for several reasons:

  • Solve: It helps you find the range of values that satisfy the inequality.
  • Graphing: It can also help visualize the solution set on a number line or coordinate plane.
  • Efficiency: It speeds up calculations and reduces human error in solving inequalities.

3. How Does It Work?

The calculator works by:

  • Taking an inequality as input.
  • Solving the inequality algebraically (by isolating the variable on one side).
  • Plotting the solution on a graph (if necessary).
  • Displaying the solution in interval notation or as a set of possible values.

For example, for the inequality 2x+3<5, the calculator will:

  1. Subtract 3 from both sides: 2x<2
  2. Divide both sides by 2: x<1
  3. Show the solution x<1

4. When is it Used?

Linear Inequality Calculators are used when:

  • Studying or solving math problems: Especially in algebra courses.
  • Graphing inequalities: To visualize the solution set.
  • Checking the solution: Ensuring that a range of values satisfies the inequality.