Union Of Sets Definition

Commutative associative identity and distributive.

Union of sets definition. Union of sets is defined as a set of elements that are present in at least one of the sets. Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20. The union of two sets a and b is the set of elements which are in a or in b or in both. Shade elements which are in p or in q or in both.

The objects that make up a set also known as the set s elements or members can be anything. We next illustrate with examples. The union of 2 sets a a a and b b b is denoted by a b a cup b a b. It is one of the fundamental operations through which sets can be combined and related to each other.

For explanation of the symbols used in this article refer to the table of mathematical symbols. In the given venn diagram the red coloured portion represents the union of both the sets a and b. Union symbol is represented by u. A useful way to remember the symbol is cup nion.

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. This is the set of all distinct elements that are in a a a or b b b. We write a b basically we find a b by putting all the elements of a and b together. The union of two sets a and b is defined as the set of elements that belong to either a or b or possibly both.

The union of two sets a and b is defined as the set of all the elements which lie in set a and set b or both the elements in a and b altogether. It is denoted by a b and is read a union b. A union is often thought of as a marriage. A set is a well defined collection of distinct objects.

Union of sets. In set theory the union denoted by of a collection of sets is the set of all elements in the collection. Draw and label a venn diagram to show the union of p and q. We can define the union of a collection of sets as the set of all distinct elements that are in any of these sets.

The union operator corresponds to the logical or and is represented by the symbol. 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. The following table gives some properties of union of sets. Numbers people letters of the alphabet other sets and so on.

Here are some useful rules and definitions for working with sets.