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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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