Union Of Sets Math Definition

It is denoted by a b and is read a union b. The symbol is a special u like this. A b x x a or x b.

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The formal definition of union is shown below.

Union of sets math definition. In set theory the union denoted by of a collection of sets is the set of all elements in the collection. The set made by combining the elements of two sets. We next illustrate with 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 symbol is represented by u. For explanation of the symbols used in this article refer to the table of mathematical symbols. We write a b basically we find a b by putting all the elements of a and b together. It is one of the fundamental operations through which sets can be combined and related to each other.

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. So the union of sets a and b is the set of elements in a or b or both. Union of sets is defined as a set of elements that are present in at least one of the sets.