Compound Inequalities Calculator

The Compound Inequalities Calculator allows the user to verify if a test value satisfies two combined inequalities by selecting the inequality symbols, values, and logical connector (AND/OR).

Use Our Compound Inequalities Calculator

How to Use the Compound Inequalities Calculator

Step 1: Select the First Inequality Symbol

Begin by choosing the symbol for the first inequality. The options available are:

  • < (less than)
  • (less than or equal to)
  • > (greater than)
  • (greater than or equal to)

Select the appropriate symbol based on the mathematical expression you wish to evaluate.

Step 2: Enter the First Value

Next, input the first numerical value into the ‘First Value’ field. This value forms part of the first inequality expression. Ensure that the number is entered accurately in numerical form.

Step 3: Choose the Logical Connector

Select the logical connector to define how the two inequalities relate to each other. You have two options:

  • AND – Both inequalities must be satisfied.
  • OR – At least one of the inequalities must be satisfied.

Step 4: Select the Second Inequality Symbol

Select a symbol for the second inequality, just as you did for the first one. The available options include:

  • < (less than)
  • (less than or equal to)
  • > (greater than)
  • (greater than or equal to)

Step 5: Enter the Second Value

Input the second numerical value into the ‘Second Value’ field. This is the number that forms part of the second inequality expression.

Step 6: Enter the Test Value

Finally, you need to provide a test value, represented by ‘x’, in the ‘Test Value (x)’ field. This is the value that will be evaluated against both inequalities based on your inputs.

Step 7: Review Results

Upon entering all necessary inputs, the calculator will evaluate the test value against the inequalities. It will provide the results as follows:

  • First Inequality Result: Whether the first inequality holds true
  • Second Inequality Result: Whether the second inequality holds true
  • Final Result: The overall truth value based on the chosen logical connector (AND/OR)

Review the results to understand if the test value satisfies the compound inequality conditions you set.