JEE Exam > JEE Videos > Sets and Functions > Identify Sets (Part-2) - Solution
Identify Sets (Part-2) - Solution Video Lecture | Sets and Functions - JEE
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FAQs on Identify Sets (Part-2) - Solution Video Lecture - Sets and Functions - JEE
| 1. What is the definition of a set in mathematics? |  |
Ans. In mathematics, a set is a collection of well-defined and distinct objects, considered as an object in its own right. The objects that make up a set can be anything: numbers, letters, symbols, or even other sets.
| 2. How are sets represented and written in mathematics? | |
Ans. Sets are typically represented by listing their elements within curly braces {}. For example, the set of all even numbers can be written as {2, 4, 6, 8, ...}.
| 3. What is the cardinality of a set? | |
Ans. The cardinality of a set refers to the number of elements present in that set. It is denoted by the symbol |A|, where A is the set. For example, if a set A contains 5 elements, its cardinality is represented as |A| = 5.
| 4. What is the difference between a finite set and an infinite set? | |
Ans. A finite set is a set that contains a definite number of elements. It can be counted and its cardinality is a finite number. On the other hand, an infinite set is a set that contains an unlimited or infinitely large number of elements. Its cardinality is not a finite number.
| 5. Can a set contain another set as an element? | |
Ans. Yes, a set can contain another set as an element. This is known as a set of sets or a nested set. For example, if we have the set A = {1, 2} and the set B = {A, 3}, then B can be represented as B = {{1, 2}, 3}.
Text Transcript from Video
let's discuss the solution all lot
natural numbers less than 10 the members
of this collection are 1 3 5 7 and 9
clearly this collection is well-defined
and hence it is a set
a lot natural numbers greater than ten
the members of this collection are 11 13
15 and so on there are infinite numbers
in this collection since the members are
well defined this collection is a set
natural numbers less than 10 the members
of this collection are 1 3 5 7 and 9
clearly this collection is well-defined
and hence it is a set
a lot natural numbers greater than ten
the members of this collection are 11 13
15 and so on there are infinite numbers
in this collection since the members are
well defined this collection is a set
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Dec 25, 2024 Last updated |
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