Linear Inequalities Calculator

The Linear Inequalities Calculator allows users to solve and evaluate linear inequalities by entering values for a coefficient and constant, selecting an inequality type, and testing specific values, providing both the solution and whether the test value satisfies the inequality.

Use Our Linear Inequalities Calculator

Using the Linear Inequalities Calculator

Follow this step-by-step guide to effectively use the Linear Inequalities Calculator to solve and test inequality problems.

Step 1: Input Values

  • Coefficient (a): Enter the coefficient of the variable in the inequality. This is a required field, and you can enter any real number.
  • Constant (b): Enter the constant term present in the inequality. This field is also required and accepts any real number.
  • Inequality Symbol: Select the type of inequality you want to work with. The available options are:
    • Less than (<)
    • Less than or equal to (≤)
    • Greater than (>)
    • Greater than or equal to (≥)
  • Test Value (x): Input a test value which will be substituted for the variable to verify if it satisfies the inequality. This is also a required field.

Step 2: Understand the Results

  • Solution (x): The calculator will determine the solution for the variable when set equal to zero. This is calculated using the formula -b/a. The result is displayed with up to 3 decimal places.
  • Left Side Value (ax): This value shows the result of multiplying the coefficient by the test value, giving the left side of the inequality equation. It is displayed with up to 3 decimal places.
  • Right Side Value (b): This is simply the constant value entered, displayed with up to 3 decimal places.
  • Satisfies Inequality?: The calculator checks if the test value satisfies the inequality. It returns 1 for Yes and 0 for No, indicating whether the inequality holds true with the provided test value.

By carefully entering your values and reviewing the results, you can solve linear inequalities and verify if certain values satisfy the given inequality conditions.