Roster Notation
Roster notation is a way to list the elements of a set in a line, separated by commas, inside of curly brackets i.e., {element 1, element 2, . . . }
The following is an illustration of a set’s roster form:
Example: Represent the first five natural numbers in roster form.
Solution:
First five natural numbers are 1,2,3,4,5
Roster Form of Set A = {1, 2, 3, 4, 5}
Examples of Roster Form
The following example will help us to understand how to represent any data set in day-to-day life in the Roster Form
- Set of Natural Numbers Less than 10:
{1, 2, 3, 4, 5, 6, 7, 8, 9}
- Set of Even Numbers Less than 20:
{2, 4, 6, 8, 10, 12, 14, 16, 18}
- Set of Days in a Week:
{Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
- Set of Prime Numbers Less than 30:
{2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
- Set of Vowels in the English Alphabet:
{A, E, I, O, U}
- Set of Planets in the Solar System:
{Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
- Set of the First Five Positive Integers:
{1, 2, 3, 4, 5}
- Set of Months in a Year:
{January, February, March, April, May, June, July, August, September, October, November, December}
Roster Form
Roster Form is one of the two representations that any set can have, with the other representation being Set-Builder Form. In Roster form, all the elements of the set are listed in a row inside curly brackets. If the set comprises more than one element, a comma is used in roster notation to indicate the separation of every two elements. Since each element is counted separately, the roster form is also known as Enumeration Notation.
This article explores the concept of Roster form and helps you learn about this method of representing sets in Set Theory. In addition to details about Roster Form, we will also cover notation, provide examples, and discuss various applications of Roster Form.
Table of Content
- What is Roster Form in Sets?
- Roster Notation
- Limitations of Roster Notation
- Roster and Set Builder Form
- Examples on Roster Form
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