How to Write a Set Builder Notation?
Let’s go on to the next idea, writing the set-builder notation, now that we understand what that is.
To write sets in set builder notation, follow the instructions below:
- Use a lowercase letter, such as x, or any other letter, to denote the components of a set.
- As a divider, use a colon (:) or vertical bar (|).
- Declare the property’s requirement that every member of the supplied set has items after the symbol.
- Inside the curly braces{}, type the whole description.
Think about the following illustration where set A is described as:
A = { x ∈ R | x<4 }
Where the symbol ∈ means “member of.” The abbreviation “R” stands for “real numbers.” Because x in R can be any number less than 4, set A holds the value of x in R.
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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