## Introduction of Set Calculator

Set Calculator is an online tool that is designed to help you in the evaluation of the set elements problems.

Our set theory calculator **calculates two or more than two sets** of unions, intersections, and complements of sets and provides the solution in ascending order in a fraction of a second.

## What is a Set?

A set is the **collection of all the distinct objects** in a collection group, where elements, numbers, alphabet letters, colors, and figures are involved.

All the terms present in a set are called elements of a set. Set elements are present inside the curly or middle bracket { } as set A={0,1,2,3}.

## Representation of Sets by Set Notation Calculator

The set can be **represented in three ways**: notation in the form of a builder set, semantic, or roster form. The Universal Set Calculator represents the set in the following way.

### Builder Set

Builder form set is the set that describes the specific statement where elements of set features are mentioned. It uses different mathematics symbols to tell you about the elements in a set. For example, {x ∈ W | x <6 and x is odd}.

### Roster Set

The roster set is the set that **describes the figures** and numbers inside the curly bracket. For example {0,1,2,3,4}.

### Semantic Set

A semantic set describes a statement to show the elements of a set. For example, a set of the first five even numbers. For example {x|x is the even number set element}

## Types of a Set

There are many **types of sets**, but finite or infinite sets.

### Finite Set

A finite set is a set whose element is fixed in a certain number. E.g {0,1,3,6,7,9}

### Infinite Set

An infinite set is a set whose element is not fixed but a continuous number. E.g {0,1,3,6,7,9,.........}

## Working Process of the Set Theory Calculator

The set notation calculator is the easiest way to solve problems involving set elements. It has all the properties and rules needed to solve union, intersection, or complement sets questions.

When you **input the elements** of your set into the universal set calculator, it analyzes the given sets and then moves forward.

### For Intersection

After that, the number sets calculator starts comparing both the set's elements for intersection and identifies the common elements.

Now, the set operations calculator **finds a combination of similar elements** present in the given set and makes it a new set, which is called the solution of the intersection of sets problem. With that, it provides you solution in the Venn diagram for clarity of this concept.

### For Union

The set solver is used to solve the union of two or more two sets and provides a solution and its **Venn diagram**. When you add the input in the form of sets element in the 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.

### For Universal Complement

In the set builder calculator, the universal complement set uses the procedure of finding the **complement of a set** when you add the input value to it.

Complement of set A contains elements other than the elements of A U - A = A. Set notation calculator checks the universal set and the set A for which you need to find the complement and Subtract it as (U - A).

## Practical Example of Set Problems

Let's see an **example of set problem** with a solution where all the steps are mentioned to understand the workings of the Set Calculator and also know the manual calculation of such problems.

### Example:

If A = {1,3,5,7} and B = {1,2,4,6,8} then A ⋃ B,

**Solution:**

$$ A ⋃ B \;=\; [1,2,3,4,5,6,7,8] $$

### PASTE THE GRAPH HERE!

### Example.

Find A⋂B, if

$$ Set\;A \;=\; [1,3,5] \;and\; Set\;B \;=\; [2,3,4] $$

**Solution:**

$$ A ∩ B \;=\; [3] $$

### PASTE THE GRAPH HERE!

### Example:

Find the U-A, if

$$ U \;=\; [1,2,3,4,5,6,7,8,9], A \;=\; [1,2,3,4] $$

**Solution:**

$$ A’ \;=\; U - A $$

$$ \;=\; [1,2,3,4,5,6,7,8,9] - [1,2,3,4] $$

$$ \;=\; [5,6,7,8,9] $$

### PASTE THE GRAPH HERE!

## How to Use the Set Calculator Online?

The set theory calculator has a simple design that allows you to get a solution of various types of set problems instantly. For this, you need to follow our instructions; then you do not need to find any difficulty during calculation. These steps are:

- Enter the
**elements of set A**in the input field. - Enter the elements of set B in the second input field
- Check your input set elements before clicking the calculate button to get the actual solution.
- Press the "Calculate" button to solve a set of problems.
- Press the "Recalculate" button to evaluate the set example solution more.
- You can use the load example to evaluate the set questions more with a solution.

## Final Result of Sets Calculator

The universal set calculator gives you a **solution as per your input** of set elements when you click on the calculate button that starts the process. It may include as:

**Result box**

You get the solution of sets of problems when you click on the result button.

**Steps box**

Click on the Possible steps option to get the solution of the given set question from the calculator in a step-by-step method

**Plot box**

It gives the solution in the form of a Venn diagram according to the result of set problems.

## Advantages of Set Operations Calculator

The number sets calculator is an amazing tool for solving set problems with a Venn diagram in solution. It gives you multiple advantages whenever you use it to get the solution of set questions. These advantages are

- Set solver is a reliable tool as it
**gives you accurate solutions**to the set of problems - It is a speedy tool that gives the solution to the set of elements question in a fraction of a second
- Set builder calculator is a free online tool, you can find it for evaluation of sets of questions without paying any fee
- It is used for practice to solve various kinds of examples of sets with solutions.
- Set notation calculator has a simple design, and anyone or even a beginner can easily use it to solve the Intersection problems.
- It is a versatile tool that allows you to
**solve various types of set**problems to find the union, intersection, and complement set. - Our universal Set Calculator does not give a sign-up option before using the calculator.