Union of Sets

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.