Union Of Sets Math Definition

Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20.

Union of sets math definition. Georg cantor one of the founders of set theory gave the following definition of a set at the beginning of his beiträge zur begründung der transfiniten mengenlehre. It is one of the fundamental operations through which sets can be combined and related to each other. Numbers people letters of the alphabet other sets and so on. Union of two given sets is the smallest set which contains all the elements of both the sets.

Union symbol is represented by u. A set is a well defined collection of distinct objects. So the union of sets a and b is the set of elements in a or b or both. Set symbols of set theory and probability with name and definition.

For explanation of the symbols used in this article refer to the table of mathematical symbols. Union of sets is defined as a set of elements that are present in at least one of the sets. The symbol is a special u like this. The objects that make up a set also known as the set s elements or members can be anything.

The union represents the sports that either aaron or bryce plays or both. Set subset union intersection element cardinality empty set natural real complex number set. Definition symbols 3 02. We use and for intersection and or for union let s look at some more examples of the union of two sets.

President makes before a joint session of congress. One operation that is frequently used to form new sets from old ones is called the union. A union is often thought of as a marriage. The union of set a with the intersection of b and c.

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. The set made by combining the elements of two sets. Draw and label a venn diagram to show the union of p and q. Soccer alex hunter casey drew tennis casey drew jade soccer tennis alex hunter casey drew jade.

In common usage the word union signifies a bringing together such as unions in organized labor or the state of the union address that the u s. In the mathematical sense the union of two sets retains this idea of bringing together. Union of sets. In set theory the union denoted by of a collection of sets is the set of all elements in the collection.

Shade elements which are in p or in q or in both. 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.