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In mathematics, a set is defined as a collection of distinct, well-defined objects forming a group. There can be any number of items, be it a collection of whole numbers, months of a year, types of birds, and so on. Each item in the set is known as an element of the set. We use curly brackets while writing a set.
Jul 19, 2024 · A set is a collection of well-defined objects that share some common property. It can be a group of any items, such as the names of the months in a year, the days in a week, or a list of variables or constants. Sets are named and represented in capital letters. Here are some examples of sets: A = {-5, -3, -1, 1, 3, 5} B = {2, 3, 5, 7, 11, 13, …}
Set Symbols. A set is a collection of things, usually numbers. We can list each element (or "member") of a set inside curly brackets like this: Common Symbols Used in Set Theory
SymbolMeaningExample{ }Set: a collection of elements{1, 2, 3, 4}A ∪ BUnion: in A or B (or both)C ∪ D = {1, 2, 3, 4, 5}A ∩ BIntersection: in both A and BC ∩ D = {3, 4}A ⊆ BSubset: every element of A is in B.{3, 4, 5} ⊆ DIn sets it does not matter what order the elements are in. Example: {1,2,3,4} is the same set as {3,1,4,2} When we say order in sets we mean the size of the set. Another (better) name for this is cardinality. A finite set has finite order (or cardinality). An infinite set has infinite order (or cardinality).
- Sets Definition. In mathematics, a set is defined as a well-defined collection of objects. Sets are named and represented using capital letters. In the set theory, the elements that a set comprises can be any kind of thing: people, letters of the alphabet, numbers, shapes, variables, etc.
- Representation of Sets in Set Theory. There are different set notations used for the representation of sets in set theory. They differ in the way in which the elements are listed.
- Sets Symbols. Set symbols are used to define the elements of a given set. The following table shows the set theory symbols and their meaning. Symbols. Meaning.
- Types of Sets. There are different types of sets in set theory. Some of these are singleton, finite, infinite, empty, etc. Singleton Sets. A set that has only one element is called a singleton set or also called a unit set.
1. Write a set consisting of four small hand tools that might be in a toolbox and label it with a capital /**/T/**/. All the sets we have considered so far have been well-defined sets. A well-defined set clearly communicates whether an element is a member of the set or not.
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T means the set of Tennis players. V means the set of Volleyball players. The Venn Diagram is now like this: Union of 3 Sets: S ∪ T ∪ V. You can see (for example) that: drew plays Soccer, Tennis and Volleyball. jade plays Tennis and Volleyball. alex and hunter play Soccer, but don't play Tennis or Volleyball.
