Union Of Sets Math Definition Examples

The following table gives some properties of union of sets.

Union of sets math definition examples. The union of two sets a and b is the set of elements which are in a or in b or in both. A set may be denoted by placing its objects between a pair of curly braces. But the union of sets is an operation performed on two sets say a and b which results in a set that has all elements belonging either to set a and set b or both. Scroll down the page for more examples.

Graph theory abstract algebra real analysis complex analysis linear algebra number theory and the list goes on. The arrangement of the objects in the set does not matter. It is one of the fundamental operations through which sets can be combined and related to each other. But there is one thing that all of these share in common.

A union is often thought of as a marriage. Let s start off with a simple example. Shade elements which are in p or in q or in both. Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20.

We use and for intersection and or for union let s look at some more examples of the union of two sets. In mathematics a set is a well defined collection of distinct objects considered as an object in its own right. Finite sets are the sets having a finite countable number of members. Given two sets a and b the union is the set that contains elements or objects that belong to either a or to b or to both.

We next illustrate with examples. Draw and label a venn diagram to show the union of p and q. When considered collectively they form a single set of size. Additional union and intersection of sets examples in the following examples students will apply their knowledge on sets unions and intersections to answer the questions and describe the.

It is denoted by a b and is read a union b. Finite sets are also known as countable sets as they can be counted. Math can get amazingly complicated quite fast. For example the numbers 2 4 and 6 are distinct objects when considered separately.

Commutative associative identity and distributive. It is represented just by a symbol u. Here y ou will learn about finite and infinite sets their definition properties and other details of these two types of sets along with various examples and questions. We write a b basically we find a b by putting all the elements of a and b together.

For example set a a b c and set b c d e and u 1 2. Definition of finite set. In set theory the union denoted by of a collection of sets is the set of all elements in the collection.