## What are Sets in Mathematics?

A set is a collection of objects. The objects in a set are called its elements. For example, the set of all natural numbers is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. The set of all even numbers is {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}.

## Union of sets

A union of sets is a set that is the result of combining two or more sets. The union of sets is usually represented by the symbol ∪. To find the union of two sets, simply combine the sets together. For example, the union of the sets {1, 2, 3} and {4, 5, 6} would be the set {1, 2, 3, 4, 5, 6}.

## Union of Sets Examples

1. Union of sets A and B is the set that contains all the elements of A and B.

2. Union of sets A and B is written as A ∪ B.

3. The symbol ∪ is read as “union.”

4. The union of A and B is the set that contains all the elements of A, B, and any other elements that are not in A or B.

5. The union of A and B is the set that contains the largest number of elements.

6. The union of A and B is the set that is the intersection of A and B.

7. The union of A and B is the set that is the difference of A and B.

## Some Properties of the Operation of Union

1. The union of two sets is a set that consists of all the elements in both sets.

2. The union of two sets is always a subset of the Cartesian product of the two sets.

3. The union of two sets is always a commutative operation.

4. The union of two sets is always associative.

5. The union of two sets is always distributive over the intersection of the two sets.

## Union Venn Diagram

Union Venn diagrams are diagrams that show how different sets intersect. The diagrams consist of overlapping circles, with each circle representing a set. The intersections of the circles show how the different sets intersect.