Union Of Sets Math Definition Examples

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.

Union of sets math definition examples. When considered collectively they form a single set of size. A set may be denoted by placing its objects between a pair of curly braces. The following table gives some properties of union of sets. Math can get amazingly complicated quite fast.

Commutative associative identity and distributive. 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. In mathematics a set is a well defined collection of distinct objects considered as an object in its own right.

Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20. The arrangement of the objects in the set does not matter. A union is often thought of as a marriage. We next illustrate with examples.

Let s start off with a simple example. 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. Draw and label a venn diagram to show the union of p and q. 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. For example the numbers 2 4 and 6 are distinct objects when considered separately. Shade elements which are in p or in q or in both. We write a b basically we find a b by putting all the elements of a and b together.

For explanation of the symbols used in this article refer to the table of mathematical symbols. 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. Finite sets are also known as countable sets as they can be counted. In set theory the union denoted by of a collection of sets is the set of all elements in the collection.

Definition of finite set. We use and for intersection and or for union let s look at some more examples of the union of two sets. 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. Scroll down the page for more examples.

Finite sets are the sets having a finite countable number of members. The operand of union of set is given by. It is represented just by a symbol u.