Class 11 Exam > Class 11 Questions > let A, B and C be on empty sets such that A d...
Start Learning for Free
let A, B and C be on empty sets such that A delta B is equal to C. Then b =
? Related: Sets and their Representation
Most Upvoted Answer
let A, B and C be on empty sets such that A delta B is equal to C. The...
A Delta B
To understand the given statement, let's first define the symmetric difference between two sets. The symmetric difference, denoted by A delta B, between two sets A and B is the set of elements that are in either A or B, but not in both.
Empty Sets
An empty set, also known as the null set, is a set that contains no elements. It is denoted by the symbol Ø or {}.
Given Information
We are given three empty sets A, B, and C, and it is stated that the symmetric difference between sets A and B is equal to set C.
Explanation
Since A and B are empty sets, they do not contain any elements. Therefore, the symmetric difference between A and B, denoted as A delta B, will also be an empty set. This is because there are no elements that are in either A or B, but not in both.
So, A delta B = Ø (empty set)
According to the given information, A delta B = C. Since A delta B is an empty set, C must also be an empty set.
Therefore, C = Ø (empty set)
Conclusion
In conclusion, if A, B, and C are all empty sets and the symmetric difference between sets A and B is equal to set C, then C must also be an empty set.
To understand the given statement, let's first define the symmetric difference between two sets. The symmetric difference, denoted by A delta B, between two sets A and B is the set of elements that are in either A or B, but not in both.
Empty Sets
An empty set, also known as the null set, is a set that contains no elements. It is denoted by the symbol Ø or {}.
Given Information
We are given three empty sets A, B, and C, and it is stated that the symmetric difference between sets A and B is equal to set C.
Explanation
Since A and B are empty sets, they do not contain any elements. Therefore, the symmetric difference between A and B, denoted as A delta B, will also be an empty set. This is because there are no elements that are in either A or B, but not in both.
So, A delta B = Ø (empty set)
According to the given information, A delta B = C. Since A delta B is an empty set, C must also be an empty set.
Therefore, C = Ø (empty set)
Conclusion
In conclusion, if A, B, and C are all empty sets and the symmetric difference between sets A and B is equal to set C, then C must also be an empty set.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation?
Question Description
let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation?.
let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation?.
Solutions for let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation? defined & explained in the simplest way possible. Besides giving the explanation of
let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation?, a detailed solution for let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation? has been provided alongside types of let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation? theory, EduRev gives you an
ample number of questions to practice let A, B and C be on empty sets such that A delta B is equal to C. Then b = Related: Sets and their Representation? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup