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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
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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.
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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?
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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?.
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