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.

Union of sets math definition examples. Graph theory abstract algebra real analysis complex analysis linear algebra number theory and the list goes on. 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. We will define our universal set as u 1 2 3 4 5 6 7 and we will define our subset as e 1 3 4.

Definition of finite set. But there is one thing that all of these share in common. It is one of the fundamental operations through which sets can be combined and related to each other. Scroll down the page for more examples.

The arrangement of the objects in the set does not matter. Let s start off with a simple example. We next illustrate with examples. In set theory the union denoted by of a collection of sets is the set of all elements in the collection.

The operand of union of set is given by. A set may be denoted by placing its objects between a pair of curly braces. 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.

A union is often thought of as a marriage. The following table gives some properties of union of sets. 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.

Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20. It is denoted by a b and is read a union b. Commutative associative identity and distributive. When considered collectively they form a single set of size.

Math can get amazingly complicated quite fast. For explanation of the symbols used in this article refer to the table of mathematical symbols. Draw and label a venn diagram to show the union of p and q. 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.

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. For example the numbers 2 4 and 6 are distinct objects when considered separately. Finite sets are also known as countable sets as they can be counted.