Inequality Calculator: Tool for Solving Linear Inequalities

An inequality calculator is a tool or software application designed to help solve linear inequalities. Linear inequalities are mathematical expressions that compare two algebraic expressions using inequality symbols like < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

An inequality calculator typically allows users to input linear inequalities and then provides solutions or graphs that visually represent the regions of the number line where the inequality is true. The calculator can be useful for solving and visualizing solutions to inequalities, especially when dealing with complex expressions or multiple inequalities.

Here's how an inequality calculator typically works:

1. Input: Users enter the linear inequality they want to solve. For example:

   • 2x + 3 < 7
   • 3y ≥ 12
   • x - 4 ≤ 2x + 1

2. Calculation: The calculator processes the input inequality and calculates the solution based on the provided inequality symbols and expressions.

3. Solution: The calculator displays the solution to the inequality. It may provide the solution as an algebraic expression, a set notation (e.g., {x | x < 5}), or as an interval on the number line.

4. Graphical Representation: In addition to the solution, the calculator may also graphically represent the solution on a number line. It highlights the regions where the inequality holds true, making it easier to visualize.

5. Additional Features: Some advanced inequality calculators may offer additional features, such as solving systems of linear inequalities, graphing multiple inequalities on the same graph, or allowing users to explore the effects of changing coefficients or constants in the inequalities.

Inequality calculators can be valuable tools for students, educators, and anyone working with linear inequalities in mathematics or other fields where inequalities are used to model real-world situations. They help simplify the process of solving and visualizing solutions to these mathematical expressions.