A∪B Formula

A∪B formula is defined as the elements that either belong to set A or set B. The combination of the elements of A or B gives the A∪B formula. The set builder form representation of the A∪B formula is:

A B = {x : x ∈ A or x ∈ B}

Venn Diagram for AUB Formula

The Venn diagram for AUB formula is given below. In the below diagram, the pink region shows the union of two sets A and B.

AUB Formula

AUB is defined by the elements that belong to either set A or set B. The union operation i.e., A∪B is one of the important operations in sets. This article explores the A∪B formula, the number of elements in A∪B formula, A∪B formula in probability, and the complement of the A union B formula.

AUB Formula

We will also solve some examples and answer some FAQs related to the A∪B formula. Let’s start our learning on the topic “A∪B formula”.

Table of Content

  • What is A Union B?
  • What is A∪ B Formula?
  • Number of Elements in A∪B Formula
  • A∪B Formula in Probability
  • Complement of AUB Formula

Similar Reads

What is A Union B?

A union B represented as A∪B is the set with elements that belong to either of the sets. The union is represented by the symbol ∪. If A and B are two sets the union of A and B is denoted as A∪B. Union is a set operation that unites the elements of two or more sets....

A∪B Formula

A∪B formula is defined as the elements that either belong to set A or set B. The combination of the elements of A or B gives the A∪B formula. The set builder form representation of the A∪B formula is:...

Number of Elements in A∪B Formula

Number of elements in the A∪B is defined as the sum of the number of elements in A and B minus number of elements in A∩B. The formula for the number of elements in A∪B formula is given by:...

A∪B Formula in Probability

A∪B formula in Probability is used to find the probability of A∪B with the help of the probability of the events A, B and A∩B respectively. There are two A∪B formula in probability one for the mutually exclusive events and other for non-mutually exclusive events....

Complement of AUB Formula

The complement of A∪B formula is defined as the intersection of complement of A and complement of B. This is called De Morgan’s law....

What is A Union B Union C?

The A union B union C is defined as the set of elements that belongs to set A or set B or set C. It is represented as A ∪ B ∪ C. The set builder form of A ∪ B ∪ C is:...

What is A union B intersection C?

The A union B intersection C is defined as the set of elements that belongs to either A or B∩C. The set builder form of A union B intersection C is:...

Solved Examples on AUB Formula

Example 1. Find A∪B using A∪B formula where, A = {9, 22} and B = {10, 16}....

Practice Questions on AUB Formula

Q1. Find A∪B using A∪B formula where, A = {1, 2} and B = {5, 6}....

A∪B Formula – FAQs

What is A∪B Formula in Mathematics?...