How to use a Set Builder Notation?
A mathematical notation known as “set builder notation” lists all the requirements that each member of a set must meet in order to be included in the set. In particular, it helps to understand sets with an unlimited number of items.
There are three key parts to set builder notation:
- Typically, a variable is written in lowercase.
- “Such that” is viewed as a vertical bar separator or colon.
- logical statement of the characteristics of sets.
The three elements of set builder notation mentioned above are placed inside curly brackets as shown below:
A = { variable | attribute }
OR
A = { x : θ(x) }
A separator, the vertical bar is either interpreted as “such that” or a colon “:”. θ(x). For all values of x for which the predicate is true, the set being defined is represented by the symbol (x), which corresponds to the predicate (a logical statement indicating the attributes that the set contains).
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