Use this tool to quickly find the union and intersection of two sets.

## How to Use the Union and Intersection Calculator

Enter the values for Set A and Set B as comma-separated lists in their respective input fields. Select the operation you want to perform: either **Union** or **Intersection**.

Click the “Calculate” button to see the result in the “Result” field.

## How It Calculates

This calculator takes two sets of values. For the **Union** operation, it combines the values from both sets, removing any duplicates. For the **Intersection** operation, it returns only the values that are present in both sets.

## Limitations

This calculator is designed to work with simple, non-nested sets of values. It does not handle complex data types or deeply nested structures. Additionally, it treats values as strings and is case-sensitive, so “value” and “Value” are considered different.

## Use Cases for This Calculator

### Use Case 1: Calculating Union of Two Sets

Input two sets of numbers in the calculator to find the union, which combines all the unique elements from the two sets. For example, if the first set is {1, 2, 3} and the second set is {3, 4, 5}, the union will be {1, 2, 3, 4, 5}.

### Use Case 2: Calculating Intersection of Two Sets

Enter two sets of numbers to calculate their intersection, which displays all the common elements between the two sets. If set 1 is {2, 4, 6} and set 2 is {2, 7, 8}, the intersection will be {2}.

### Use Case 3: Empty Set Input

If you input an empty set, the calculator will return an empty set as the result for both union and intersection calculations. It’s important to handle empty inputs correctly to avoid any confusion in the results.

### Use Case 4: Duplicate Values in Sets

If there are duplicate values within a set, the calculator will automatically remove the duplicates before performing the union or intersection calculations. This ensures accurate results without repetition of elements.

### Use Case 5: Large Sets Calculation

The calculator can handle large sets of numbers efficiently, allowing you to input multiple elements without any performance issues. Whether you have 10 elements or 1000, the calculator will swiftly process the union and intersection results.

### Use Case 6: Complex Number Sets

If you have complex number sets like {1 + 2i, 3 – 4i} and {3 + 2i, 1 – 4i}, the calculator can handle these inputs to find the union and intersection of complex numbers accurately.

### Use Case 7: Mixed Data Types

The calculator supports mixed data types in sets, such as integers, decimals, fractions, and even strings. You can input a variety of data types and still get the correct union and intersection results without any issues.

### Use Case 8: Error Handling

If you input invalid characters or format in the sets, the calculator will display an error message prompting you to correct the input. Proper error handling ensures that you get accurate results based on valid inputs only.

### Use Case 9: Quick Clear Function

If you want to start over or input new sets quickly, use the clear function to reset the calculator and begin a fresh calculation. This feature saves you time and allows for easy iterative calculations.

### Use Case 10: Copy Results Option

After obtaining the union or intersection results, you can copy the output with a single click to paste it elsewhere. This convenience feature enables you to use the calculated results in other applications or documents effortlessly.