How to read Set Builder Notation?
A technique for expressing set attributes that hold true for each and every element contained in the set is called set builder notation. The format of set builder notation is as follows:
A = { x | condition about x }
is to be understood as “the set of all the values of x such that the given condition about x is true for all the values of x.”
A vertical bar can be used in lieu of the colon and is interpreted in the same way.
A = { x : condition about x }
The words “such that” in the set-builder notation explanation are represented by the colon and the vertical bar, respectively.
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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