Union Of Sets Meaning In Math

The union of the soccer and tennis sets is alex hunter casey drew and jade.

Union of sets meaning in math. So the union of sets a and b is the set of elements in a or b or both. Union of sets the union of two sets a and b is the set of elements which are in a or in b or in both. Commutative associative identity and distributive. For explanation of the symbols used in this article refer to the table of mathematical symbols.

In the mathematical sense the union of two sets retains this idea of bringing together. We can define the union of a collection of sets as the set of all distinct elements that are in any of these sets. In set theory the union denoted by of a collection of sets is the set of all elements in the collection. The following table gives some properties of union of sets.

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. We use and for intersection and or for. Set subset union. The symbol is an upside down u like this.

Soccer alex hunter casey drew tennis casey drew jade soccer tennis alex hunter casey drew jade in words. The word that signifies that we are using a union is the word or. It is denoted by a b and is read a union b. The intersection of two sets has only the elements common to both sets.

If an element is in just one set it is not part of the intersection. The intersection of the soccer and tennis sets is just casey and drew only casey and drew are in both sets which can be written. A union is often thought of as a marriage. The symbol is a special u like this.

The set made by combining the elements of two sets. Set symbols of set theory and probability with name and definition. It is one of the fundamental operations through which sets can be combined and related to each other.