FAQs on Sets & their Representation

Question 1

1. What is a set?

Accepted Answer

Ans. A set is a collection of distinct objects, which are called its elements. In other words, a set is a well-defined collection of objects that can be anything such as numbers, letters, or even other sets.

Question 2

2. How are sets represented?

Accepted Answer

Ans. Sets can be represented in two ways- roster form and set-builder form. In roster form, the elements of the set are enclosed in curly braces and separated by commas. For example, {1, 2, 3}. In set-builder form, the set is defined by describing the properties that its elements must satisfy. For example, {x | x is a natural number and x < 5}.

Question 3

3. What is the cardinality of a set?

Accepted Answer

Ans. The cardinality of a set is the number of elements in the set. For example, the set {1, 2, 3} has a cardinality of 3.

Question 4

4. What is an empty set?

Accepted Answer

Ans. An empty set is a set that contains no elements. It is denoted by the symbol ∅ or {}.

Question 5

5. What is a subset?

Accepted Answer

Ans. A subset is a set that contains only elements that are also in another set. In other words, if every element of set A is also an element of set B, then A is a subset of B, denoted by A ⊆ B.

00:04	Listing Method or the Roster Method
00:16	Set Builder Method
02:27	Question 1
02:29	Venn Diagram Method

00:04	Listing Method or the Roster Method
00:16	Set Builder Method
02:27	Question 1
02:29	Venn Diagram Method

Sets & their Representation Video Lecture - (Maths) Class 11 - Commerce

Mathematics (Maths) Class 11

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