Practice Problems on Roster Form

Problem 1: Write the following in Roster Form.

  • Set of even numbers between 1 and 10.
  • Set of vowels in the English alphabet.
  • Set of prime numbers less than 20.
  • Set of days in a week.
  • Set of colours in a rainbow.
  • Set of planets in our solar system.

Problem 2: Write the following in Roster Form.

  • Set of three-digit numbers that are divisible by both 3 and 4.
  • Set of all two-digit prime numbers.
  • Set of elements in the periodic table that are noble gases.
  • Set of perfect numbers less than 100.
  • Set of all possible outcomes when rolling a fair six-sided die twice.
  • Set of positive integers that are divisible by 6, 8, and 10.

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

Similar Reads

What is Roster Form in Sets?

When representing sets in the roster form, the items are arranged in a row and enclosed in curly brackets. If the set has more than one element, commas are used to separate each pair of elements. For instance, if A is the set of the first 7 natural numbers. In Roster Form, it can be represented by: A = {1, 2, 3, 4, 5, 6, 7}....

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, . . . }...

Limitations of Roster Notation

The inability to represent a significant amount of data in roster form is one of the drawbacks of roster notation. It is challenging for us to express this much data in a single row, for instance, if we want to represent the first 1000 or 2000 natural numbers in set A. Data can be represented using a dotted line to get around this restriction. Consider the first 1000 positive even numbers and use roster notation to represent them that is A = {2,4,6,8,…..1000}...

Roster and Set Builder Form

Another notation known as “set builder form” is also used to represent sets. Instead of mentioning the set of all items, we use a condition in this manner to express sets. For instance, the set of vowels in English Alphabets can be expressed as {x | x represents vowels in english alphabets} is the set builder notation. Let’s discuss the difference between both the methods of representation as follows:...

Important Points for Roster Form

Let’s summarize the Roster Form in the following important bullets....

Solved Examples on Roster Form

Problem 1: Find the correct roster form of the set of first three prime numbers from the following:...

Practice Problems on Roster Form

Problem 1: Write the following in Roster Form....

Roster Form – FAQs

1. Define Roster Form....

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