Graph Inequalities Calculator

The Graph Inequalities Calculator allows users to select inequality types, input line parameters and a test point to determine if the point satisfies the inequality and identify the solution region relative to a line.

Use Our Graph Inequalities Calculator

How to Use the Graph Inequalities Calculator

Welcome to the Graph Inequalities Calculator! This tool will assist you in solving linear inequalities and determining whether a specific point satisfies the inequality. Follow this simple, step-by-step guide to effectively use the calculator.

Step 1: Input the Required Information

Select the Inequality Type:

  • Click on the drop-down menu labeled Inequality Type.
  • Choose the appropriate inequality from the options:
    • Less than (<)
    • Less than or equal to (≤)
    • Greater than (>)
    • Greater than or equal to (≥)

Enter the Slope (m):

  • In the Slope (m) field, enter the number that represents the slope of your linear equation.
  • Ensure your input is a valid number as this is a required field.

Enter the Y-Intercept (b):

  • In the Y-Intercept (b) field, input the y-intercept of your line.
  • This is a required numerical field, so ensure the value is valid.

Enter the Test Point Coordinates:

  • Fill in the Test Point X and Test Point Y fields with the x and y coordinates of the point you want to test against the inequality.
  • These inputs are required and must be valid numbers.

Step 2: Calculate and Interpret the Results

Understand the Linear Equation:

  • Based on your input for slope and y-intercept, the calculator will display the Linear Equation in the form y = mx + b.

Compute the Y Value at Test Point:

  • The calculator will evaluate the y-value at the specified x-coordinate of your test point using the equation.
  • This value helps determine if the point satisfies the inequality.

Check If the Point Satisfies the Inequality:

  • The Point Satisfies Inequality field will indicate if your point satisfies the inequality condition (1 = Yes, 0 = No).
  • This calculation depends on the selected inequality type and the computed y-value.

Identify the Solution Region:

  • The calculator will inform you whether the solution lies Below the line or Above the line, based on your inequality type.

By following these steps, you’ll be able to efficiently use the Graph Inequalities Calculator to analyze and solve linear inequalities. If any of your inputs are invalid or missing, the calculator will prompt you with appropriate validation messages. Happy calculating!