JEE > Sets and Functions > 06 - Represent a set : Set-Builder form
06 - Represent a set : Set-Builder form Video Lecture - Sets and Functions - JEE
FAQs on 06 - Represent a set : Set-Builder form Video Lecture - Sets and Functions - JEE
| 1. What is set-builder form in JEE? |  |
Ans. Set-builder form in JEE refers to the notation used to represent a set by specifying the properties or conditions that its elements must satisfy. It is written as {x | x satisfies a specific property or condition}.
| 2. How is set-builder form useful in JEE? | |
Ans. Set-builder form is useful in JEE as it allows us to define sets with specific properties or conditions. This notation helps in representing mathematical concepts and solving problems related to sets, such as finding subsets, performing set operations, and defining functions.
| 3. Can you provide an example of set-builder form in JEE? | |
Ans. Sure! An example of set-builder form in JEE can be seen in the representation of a set of even numbers: {x | x is an even number}. This notation indicates that the set contains all the numbers that satisfy the condition of being even.
| 4. How do you read set-builder form in JEE? | |
Ans. Set-builder form in JEE can be read as "{x such that x satisfies a specific property or condition}". For example, the set {x | x is a prime number} can be read as "the set of all x such that x is a prime number".
| 5. What are some common applications of set-builder form in JEE? | |
Ans. Set-builder form is commonly used in JEE for various applications, such as defining the domain and range of functions, representing intervals and inequalities, solving equations and inequalities involving sets, and describing relationships between elements of different sets. It is a powerful tool for organizing and analyzing mathematical concepts in JEE.
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Text Transcript from Video
in this video we will learn to represent
the set using set-builder form in
set-builder form we use curly braces
then describing the element of a set by
a symbol say X which is followed by a
colon
we write the characteristic property
possessed by the elements of the set we
can also use a vertical bar in place of
the colon let's represent set of all
vowels in English alphabet using
set-builder form donating the set by V
and then describing each element by Y
followed by a colon we write Y is a
vowel in English alphabet which is the
characteristic property of each alphabet
of this set here the braces stand for
the set of all and the colon stands for
such that therefore the above
description of the set V is read as the
set of all Y such that Y is a vowel in
English alphabet
similarly the description of a set a
represented in set-builder form as shown
is read as the set of all Z such that Z
is a natural number and Z lies between 1
and 4 therefore the elements of set a
are 2 and 3 they're going to be more
than one set builder form of a set for
example the set of squares of all
natural numbers can be represented
simply like this or we can represent it
in another way by writing the
characteristic property as x equals n
Square where n belongs to natural number
the set using set-builder form in
set-builder form we use curly braces
then describing the element of a set by
a symbol say X which is followed by a
colon
we write the characteristic property
possessed by the elements of the set we
can also use a vertical bar in place of
the colon let's represent set of all
vowels in English alphabet using
set-builder form donating the set by V
and then describing each element by Y
followed by a colon we write Y is a
vowel in English alphabet which is the
characteristic property of each alphabet
of this set here the braces stand for
the set of all and the colon stands for
such that therefore the above
description of the set V is read as the
set of all Y such that Y is a vowel in
English alphabet
similarly the description of a set a
represented in set-builder form as shown
is read as the set of all Z such that Z
is a natural number and Z lies between 1
and 4 therefore the elements of set a
are 2 and 3 they're going to be more
than one set builder form of a set for
example the set of squares of all
natural numbers can be represented
simply like this or we can represent it
in another way by writing the
characteristic property as x equals n
Square where n belongs to natural number
Video Description: 06 - Represent a set : Set-Builder form for JEE 2023 is part of Sets and Functions preparation.
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39 videos|11 docs
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