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Choose the incorrect statement
- a)If a set has only one element, we call it a singleton set.
- b)Set of all even prime numbers is a subset of set of all natural numbers.
- c)Φ is not a subset of any set.
- d)Every set is a subset of itself.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Choose the incorrect statementa)If a set has only one element, we call...
A set A is a proper subset of a set B if A is a subset of B and there is at least one element of B that's not an element of A. Thus, the void set is a subset of all sets, and it's a proper subset of every set except itself
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Choose the incorrect statementa)If a set has only one element, we call...
Incorrect statement:
The incorrect statement is option 'C', which states that "is not a subset of any set".
Explanation:
To understand why option 'C' is incorrect, we need to understand the concept of subsets.
Definition of Subset:
A set A is said to be a subset of set B (denoted as A ⊆ B) if every element of A is also an element of B.
Explanation of option 'C':
The statement " is not a subset of any set" is incorrect because every set is a subset of itself. This is known as the reflexive property of subsets.
Reflexive Property:
According to the reflexive property of subsets, for any set A, A ⊆ A is always true. This means that every set is a subset of itself.
Example:
Let's consider a set A = {1, 2, 3}. In this case, A is a subset of itself because every element in A (1, 2, and 3) is also an element of A. So, A ⊆ A is true.
Conclusion:
In conclusion, every set is a subset of itself. Option 'C' is incorrect because it states that "is not a subset of any set".
The incorrect statement is option 'C', which states that "is not a subset of any set".
Explanation:
To understand why option 'C' is incorrect, we need to understand the concept of subsets.
Definition of Subset:
A set A is said to be a subset of set B (denoted as A ⊆ B) if every element of A is also an element of B.
Explanation of option 'C':
The statement " is not a subset of any set" is incorrect because every set is a subset of itself. This is known as the reflexive property of subsets.
Reflexive Property:
According to the reflexive property of subsets, for any set A, A ⊆ A is always true. This means that every set is a subset of itself.
Example:
Let's consider a set A = {1, 2, 3}. In this case, A is a subset of itself because every element in A (1, 2, and 3) is also an element of A. So, A ⊆ A is true.
Conclusion:
In conclusion, every set is a subset of itself. Option 'C' is incorrect because it states that "is not a subset of any set".
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Choose the incorrect statementa)If a set has only one element, we call...
phi is a subset of every set
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Choose the incorrect statementa)If a set has only one element, we call it a singleton set.b)Set of all even prime numbers is a subset of set of all natural numbers.c)Φ is not a subset of any set.d)Every set is a subset of itself.Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Choose the incorrect statementa)If a set has only one element, we call it a singleton set.b)Set of all even prime numbers is a subset of set of all natural numbers.c)Φ is not a subset of any set.d)Every set is a subset of itself.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Choose the incorrect statementa)If a set has only one element, we call it a singleton set.b)Set of all even prime numbers is a subset of set of all natural numbers.c)Φ is not a subset of any set.d)Every set is a subset of itself.Correct answer is option 'C'. Can you explain this answer?.
Choose the incorrect statementa)If a set has only one element, we call it a singleton set.b)Set of all even prime numbers is a subset of set of all natural numbers.c)Φ is not a subset of any set.d)Every set is a subset of itself.Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Choose the incorrect statementa)If a set has only one element, we call it a singleton set.b)Set of all even prime numbers is a subset of set of all natural numbers.c)Φ is not a subset of any set.d)Every set is a subset of itself.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Choose the incorrect statementa)If a set has only one element, we call it a singleton set.b)Set of all even prime numbers is a subset of set of all natural numbers.c)Φ is not a subset of any set.d)Every set is a subset of itself.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Choose the incorrect statementa)If a set has only one element, we call it a singleton set.b)Set of all even prime numbers is a subset of set of all natural numbers.c)Φ is not a subset of any set.d)Every set is a subset of itself.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Choose the incorrect statementa)If a set has only one element, we call it a singleton set.b)Set of all even prime numbers is a subset of set of all natural numbers.c)Φ is not a subset of any set.d)Every set is a subset of itself.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Choose the incorrect statementa)If a set has only one element, we call it a singleton set.b)Set of all even prime numbers is a subset of set of all natural numbers.c)Φ is not a subset of any set.d)Every set is a subset of itself.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Choose the incorrect statementa)If a set has only one element, we call it a singleton set.b)Set of all even prime numbers is a subset of set of all natural numbers.c)Φ is not a subset of any set.d)Every set is a subset of itself.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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