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Union of sets is defined as a set of elements that are present in at least one of the sets.
Union of sets math definition. The set made by combining the elements of two sets. The symbol is a special u like this. One operation that is frequently used to form new sets from old ones is called the union. 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.
Set subset union intersection element cardinality empty set natural real complex number set. Soccer alex hunter casey drew tennis casey drew jade soccer tennis alex hunter casey drew jade. 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. It is one of the fundamental operations through which sets can be combined and related to each other.
Union of sets. We next illustrate with examples. 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.
For explanation of the symbols used in this article refer to the table of mathematical symbols. A union is often thought of as a marriage. 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.
Draw and label a venn diagram to show the union of p and q. 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. A set is a well defined collection of distinct objects. Set symbols of set theory and probability with name and definition.
Definition symbols 3 02. President makes before a joint session of congress. We write a b basically we find a b by putting all the elements of a and b together. Shade elements which are in p or in q or in both.
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. Union of two given sets is the smallest set which contains all the elements of both the sets. Union symbol is represented by u. In set theory the union denoted by of a collection of sets is the set of all elements in the collection.
The union of set a with the intersection of b and c. So the union of sets a and b is the set of elements in a or b or both.
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