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# What is a union in set theory?

## What is a union in set theory?

In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.

## What is the representation of union of sets?

The union of two sets P and Q is represented by P ∪ Q. This is the set of all different elements that are included in P or Q. The symbol used to represent the union of set is ∪. The intersection of two set P and Q is represented by P ∩ Q.

What is union set with example?

The union of two sets is a set containing all elements that are in A or in B (possibly both). For example, {1,2}∪{2,3}={1,2,3}.

What does Union mean in set theory?

In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.

### What is an Union set in math?

Union of Sets. If set A and set B are two sets,then A union B is the set that contains all the elements of set A and set B.

• Intersection of Sets. If set A and set B are two sets,then A intersection B is the set that contains only the common elements between set A and set
• Complement of Sets.
• Cartesian Product of sets.
• Difference of Sets.
• ### What is the Union of sets?

Definition of Union of Sets: Union of two given sets is the smallest set which contains all the elements of both the sets. To find the union of two given sets A and B is a set which consists of all the elements of A and all the elements of B such that no element is repeated.

What is basic set theory?

Basic Set Theory. Sets are well-determined collections that are completely characterized by their elements. Thus, two sets are equal if and only if they have exactly the same elements. The basic relation in set theory is that of elementhood, or membership.