Union Calculator

Introduction to Union Calculator

Union calculator is an online tool that helps you to find the union solution of given sets in set theory.

Union of sets calculator determines the union of a set solution which is the combination of all the elements that are present in the given sets in ascending order (for number, alphabetic, etc).

What is the Union of a Set?

Union of a set is defined as finding the union of two or more two sets to get a new set that has the same element as the given set but repetitive terms are not involved. It arranges the set elements' solutions in ascending order.

For union set ∪ is used to represent the union in set theory. For example, if Set A is {1,2,3} and Set B is {2,3,0} then its union is A∪B is {0,1,2,3}.

Properties of the Union of the Sets

Union of sets has some properties that you should know while solving sets union problems. It helps you to easily identify your set types and you get the exact solution as per given problems. Such properties are also used by the Union calculator for finding unions. These properties are:

• Commutative Property

Commutative property of a union of sets shows during sets union calculation order does not matter, you can replace the set's position but your answer will remain the same.

A∪B=B∪A

• Associative Property

Associative property of sets explains that you can take the union of two or more than two sets (here order does not affect on solution)

(A∪B)∪C=A∪(B∪C)

• Idempotent Property

Idempotent property of the union of sets says if you take the union of set A with A then you get the solution of set A elements (itself) because all the terms combine in one set during the union.

A∪A=A

• Identity Law Property

When you take union with null set and set A, the answer will be the set A itself.

A∪∅=A

• Universal Set Property

Universal set or complement set property shows the union of set U and set A is equal to set U because all the terms came in a new set.

A∪U=U

How to Find Union through Union of Sets Calculator

Union calculator uses the properties of sets from set theory to easily solve the union of two or more than two sets and provides a solution and its Venn diagram. You do not put any effort for a solution, instead, you add your problem only and our tool provides results immediately.

When you add the input in the form of a set element in the union math calculator, it will check the types of the set (natural, whole, even or odd… etc). Then it takes the union of given sets as per the definition of union where all the elements are included in the new set in ascending order.

In the solution of the union of sets, our tool provides a Venn diagram as per the solution of sets union. You can see an example below.

Calculate Union using Venn Diagram

Let's see an example of union of a set problem with a solution to get a better understanding of union of sets.

Example:

Find the Set A = {1, 2, 3} and Set B = {3, 4, 5}, A ∪ B?

Solution:

A ∪ B ={1,2,3,4,5}

PASTE THE GRAPH HERE!

How to Use the Union Calculator?

Union of sets calculator has a user-friendly interface that allows you to calculate the various types of sets instantly.

Before adding the input value to the union math calculator, you must follow some instructions so that you can avoid any type of trouble in the evaluation process. These steps are:

1. Enter all the elements of set A in the input field
2. Enter all the elements of set B in the next input field.
3. Review your given set of elements before clicking on the calculate button.
4. Click the “Calculate” button to get the solution of a union of sets.
5. Try our Calculator then you will get the accurate solution of sets union. You can use the load example for better clarity about its working principle.
6. Recalculate option return to the home page for a new calculation of union problems

Output from the Union Math Calculator

Union Calculator gives you the solution of a given set problem in an arrangement of elements according to its order irrespective of the order of their set elements in the solution. It provides you with solutions in a stepwise process. It may contain as

• Result option gives you a solution for the union of sets
• Possible step provides you with all the steps where a complete procedure is given for finding the union of a set.
• Plot option provides you with a Venn diagram that represents the union of two sets of solutions.

Benefits of Using Our Calculator

Union math calculator gives you millions of benefits whenever you use it to calculate the various types of sets union in set theory. These benefits are:

• It is a free tool so you can use it for free to find the set elements union without spending a single penny online.
• It is a handy tool that allows you to solve various types of sets (whole numbers, natural numbers, integers, even or odd numbers)
• You can use this union of sets calculator to solve different types of set examples as a practice to get familiar with the concept of set theory.
• It provides you the accurate solutions every time whenever you use it to find the union of a set calculation
• lt saves time that you consume your time for the evaluation of the union of given sets whether your sets have finite elements or infinite, when you do work manually
• Union calculator is an easy-to-use tool for the union of sets, you do not need to become an expert before using it for the calculation of sets.