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