JEE Exam > JEE Videos > Sets and Functions > 07 - Empty Set
07 - Empty Set Video Lecture | Sets and Functions - JEE
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FAQs on 07 - Empty Set Video Lecture - Sets and Functions - JEE
| 1. What is an empty set in JEE? |  |
Ans. An empty set in JEE refers to a set that does not contain any elements. It is denoted by the symbol Ø or {}. In other words, it is a set with no members.
| 2. Why is the concept of an empty set important in JEE? | |
Ans. The concept of an empty set is important in JEE as it is a fundamental concept in set theory and forms the basis for many mathematical operations and proofs. It helps in defining the null set, subsets, and set operations like union, intersection, and complement.
| 3. How is an empty set represented in JEE questions? | |
Ans. In JEE questions, the empty set is often represented using the symbol Ø or {}. It can be mentioned explicitly in the question statement or as a result of certain operations or conditions.
| 4. Can an empty set be a subset of any set in JEE? | |
Ans. Yes, an empty set is a subset of every set in JEE. This is because every element of the empty set is also an element of any other set. In other words, the statement "for every x, if x is in the empty set, then x is in set A" is always true.
| 5. How is the cardinality of an empty set defined in JEE? | |
Ans. The cardinality of an empty set in JEE is defined as 0. It means that the empty set does not contain any elements, and therefore, its cardinality is zero.
Text Transcript from Video
in this video we will discuss empty set
as the name suggests an empty set is the
one which does not contain any element
it is also known as the null set or the
void set for example consider a set a
represented in set-builder form as shown
clearly the members of the set would be
the natural numbers which lie between 1
& 2 since there is no natural number
between 1 & 2 a is an empty set an empty
set is donated by using braces with no
element in them or by slash circle let's
discuss a few more examples of empty set
the members of set B are the even prime
numbers greater than 2 since 2 is the
only even prime number B is an empty set
the members of set C are the natural
numbers less than 5 and greater than 7
since no number can be simultaneously
less than 5 and greater than 7 C is an
empty set the members of set D are the
rational numbers whose square equals 2
since there is no rational number with
its square equal to 2 D is an empty set
now try practicing this exercise you
need to identify which of the following
sets are an empty set you may pause the
video while you think
as the name suggests an empty set is the
one which does not contain any element
it is also known as the null set or the
void set for example consider a set a
represented in set-builder form as shown
clearly the members of the set would be
the natural numbers which lie between 1
& 2 since there is no natural number
between 1 & 2 a is an empty set an empty
set is donated by using braces with no
element in them or by slash circle let's
discuss a few more examples of empty set
the members of set B are the even prime
numbers greater than 2 since 2 is the
only even prime number B is an empty set
the members of set C are the natural
numbers less than 5 and greater than 7
since no number can be simultaneously
less than 5 and greater than 7 C is an
empty set the members of set D are the
rational numbers whose square equals 2
since there is no rational number with
its square equal to 2 D is an empty set
now try practicing this exercise you
need to identify which of the following
sets are an empty set you may pause the
video while you think
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About this Video
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Nov 21, 2024 Last updated |
Video Description: 07 - Empty Set for JEE 2024 is part of Sets and Functions preparation.
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