Inequality Graph Calculator

The Inequality Graph Calculator allows users to input an x-value, coefficient, inequality operator, and constant to evaluate the inequality result, check its satisfaction against a given condition, and determine the slope and y-intercept for graphing purposes.

Use Our Inequality Graph Calculator

How to Use the Inequality Graph Calculator

Utilizing the Inequality Graph Calculator involves entering specific values into input fields and interpreting the results provided. Follow the steps below to efficiently use this calculator:

Step 1: Enter the X Value

Begin by entering the X Value in the designated input field. This value is crucial for solving the inequality equation and must be a number between -100 and 100, inclusive. Ensure it’s accurate by using the stepping increment of 0.1, which allows you to fine-tune the value as needed.

Step 2: Define the Coefficient

Next, input the Coefficient for the linear inequality. Similar to the X Value, the coefficient should be between -100 and 100, with adjustments made in 0.1 intervals. The coefficient will dictate the slope of the inequality graph.

Step 3: Select the Inequality Operator

Choose your preferred Inequality Operator which determines the inequality condition. Options available are:

  • Less than (<): where results meet a less-than condition.
  • Greater than (>): for greater-than evaluations.
  • Less than or equal to (≤): combining equality with a less-than inequality.
  • Greater than or equal to (≥): merging greater-than condition with equality.

Make sure this choice aligns with the inequality you’re analyzing.

Step 4: Add the Constant

Then, enter the Constant value, a fixed number in your inequality equation, between -100 and 100. This constant affects the y-intercept of the inequality graph (where the line crosses the y-axis).

Step 5: Review the Calculated Results

Upon entering all necessary fields, review the calculator’s results:

  • Inequality Result: The calculated value from the formula: (coefficient * xValue) + constant. This result will be displayed with a precision of two decimal places.
  • Satisfies Inequality: Indicates whether the calculated inequality result satisfies the specified condition. It shows “1” for true and “0” for false.
  • Y-Intercept: Automatically calculated as the constant value, providing insights into where the graph intersects the y-axis.
  • Slope: Displays the coefficient, representing the incline or decline rate of the line within the graph.

Conclusion

By following these steps, you will be able to effectively use the Inequality Graph Calculator to analyze and interpret linear inequalities visually and numerically. Ensure all inputs are within the specified range and observe the results for any insights they might offer.