Union Of Sets Definition
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The union operator corresponds to the logical or and is represented by the symbol.
Union of sets definition. 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. 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 objects that make up a set also known as the set s elements or members can be anything. The union of two sets a and b is the set of elements which are in a or in b or in both.
Union of sets. A union is often thought of as a marriage. Draw and label a venn diagram to show the union of p and q. The union of 2 sets a a a and b b b is denoted by a b a cup b a b.
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. In set theory the union denoted by of a collection of sets is the set of all elements in the collection. The union of the set is denoted by the symbol. Union symbol is represented by u.
A set is a well defined collection of distinct objects. This is the set of all distinct elements that are in a a a or b b b. It is one of the fundamental operations through which sets can be combined and related to each other. It is simply defined as the set of all distinct elements or members where the members belong to any of these sets.
Numbers people letters of the alphabet other sets and so on. Union of sets is defined as a set of elements that are present in at least one of the sets. Here are some useful rules and definitions for working with sets. Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20.
It is denoted by a b and is read a union b. 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. The following table gives some properties of union of sets.
Commutative associative identity and distributive. We can define the union of a collection of sets as the set of all distinct elements that are in any of these sets. We write a b basically we find a b by putting all the elements of a and b together. A useful way to remember the symbol is cup nion.
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.
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