JEE Exam > JEE Videos > Sets and Functions > 05 - Represent a set: Roster form
05 - Represent a set: Roster form Video Lecture | Sets and Functions - JEE
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FAQs on 05 - Represent a set: Roster form Video Lecture - Sets and Functions - JEE
| 1. What is roster form in set representation? |  |
Ans. Roster form is a method used to represent a set by listing all its elements within curly braces. For example, if we have a set of even numbers less than 10, we can represent it in roster form as {2, 4, 6, 8}.
| 2. How is roster form different from set-builder form? | |
Ans. Roster form and set-builder form are two ways to represent sets. Roster form lists all the elements of a set, while set-builder form describes the properties that the elements of the set must satisfy. For example, the set of even numbers less than 10 can be represented in set-builder form as {x | x is an even number and x < 10}.
| 3. Can a set be represented in both roster form and set-builder form? | |
Ans. Yes, a set can be represented in both roster form and set-builder form. The choice of representation depends on the context and the information we want to convey. Roster form is often used when the set has a small number of elements, while set-builder form is used when the set has a large or infinite number of elements.
| 4. What are the advantages of using roster form to represent a set? | |
Ans. Roster form provides a concise and straightforward representation of a set by listing all its elements. It is easy to understand and can be used to represent finite sets with a small number of elements. Roster form also allows us to easily determine if an element belongs to a set by checking if it is listed.
| 5. Can roster form be used to represent infinite sets? | |
Ans. Roster form is not suitable for representing infinite sets as it would be impossible to list all the elements of such sets. In these cases, set-builder form is preferred as it allows us to describe the properties of the elements without explicitly listing them.
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Dec 25, 2024 Last updated |
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