Symbols Used in Set Builder Notation
The elements of the set are represented by a variety of symbols in the set builder form. Here is a list of some of the symbols.
- | stands for “such that” and is often inserted after the variable in the set builder form. The set condition is then written after this symbol.
- ∈ When translated as “belongs to,” or in other words “is an element of“.
- The word, ∉ when translated as “does not belong to,” implies “is not a part of.“
- The letter N stands for all positive integers or natural numbers.
- W stands for whole numbers.
- Z stands for integers.
- Any number that may be stated as a fraction of integers or as a rational number is represented by Q.
- Any number which is not rational is called Irrational Number and is represented by P.
- R stands for real numbers or any non-imaginary number.
- C stands for Complex Numbers.
Set-Builder Notation
Set-builder Notation is a type of mathematical notation used to describe sets by naming their components or highlighting the requirements that each member of the set must meet. Sets are written in the form of {y | (properties of y)} OR {y : (properties of y)} in the set-builder notation, where the condition that fully characterizes each member of the collection replaces the attributes of y.
The elements and properties are separated using the character ‘|’ or ‘:’ The entire set is interpreted as “the set of all elements y” such that (properties of y), while the symbols ‘|’ or ‘:’ are read as “such that.”
This article explores the set-builder notation, symbols used in set-builder notation, examples, representation of sets methods, etc.
Table of Content
- What is Set-Builder Notation?
- Symbols Used in Set Builder Notation
- Representation of Sets Methods
- Tabular or Roster Form
- Examples of Roster Method
- Set-Builder Notation
- Why Do We Use Set Builder Form?
- How to use a Set Builder Notation?
- How to Write a Set Builder Notation?
- How to read Set Builder Notation?
- Set Builder Notation for Domain and Range
- Set Builder Notation Examples
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