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Which of the following represents a proper subset?
- a)A = {2, 3}, B = {2, 3}
- b)A = {1, 2}, B = {1, 2, 3}
- c)A = {1, 2, 3}, B = {1, 2, 3}
- d)A = {4, 5}, B = {1, 2, 4, 5}
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which of the following represents a proper subset?a) A = {2, 3}, B = {...
Understanding Proper Subsets
A proper subset is a set A that is entirely contained within set B, with at least one element in B not found in A. In simpler terms, A must be smaller than B.
Analyzing the Options
- Option A: A = {2, 3}, B = {2, 3}
- Here, A is equal to B. They contain the same elements, so A is not a proper subset of B.
- Option B: A = {1, 2}, B = {1, 2, 3}
- In this case, every element of A (1 and 2) is also in B. However, B has an additional element (3) that is not in A. Thus, A is a proper subset of B.
- Option C: A = {1, 2, 3}, B = {1, 2, 3}
- Again, A and B are equal, containing the same elements. Thus, A is not a proper subset of B.
- Option D: A = {4, 5}, B = {1, 2, 4, 5}
- While A's elements (4 and 5) are included in B, B also contains additional elements (1 and 2). However, since A is not entirely contained within B (as they do not share all elements), A is not a proper subset of B.
Conclusion
The only option that correctly represents a proper subset is Option B: A = {1, 2} and B = {1, 2, 3}. This demonstrates that A is indeed contained within B while being smaller in size.
A proper subset is a set A that is entirely contained within set B, with at least one element in B not found in A. In simpler terms, A must be smaller than B.
Analyzing the Options
- Option A: A = {2, 3}, B = {2, 3}
- Here, A is equal to B. They contain the same elements, so A is not a proper subset of B.
- Option B: A = {1, 2}, B = {1, 2, 3}
- In this case, every element of A (1 and 2) is also in B. However, B has an additional element (3) that is not in A. Thus, A is a proper subset of B.
- Option C: A = {1, 2, 3}, B = {1, 2, 3}
- Again, A and B are equal, containing the same elements. Thus, A is not a proper subset of B.
- Option D: A = {4, 5}, B = {1, 2, 4, 5}
- While A's elements (4 and 5) are included in B, B also contains additional elements (1 and 2). However, since A is not entirely contained within B (as they do not share all elements), A is not a proper subset of B.
Conclusion
The only option that correctly represents a proper subset is Option B: A = {1, 2} and B = {1, 2, 3}. This demonstrates that A is indeed contained within B while being smaller in size.
Community Answer
Which of the following represents a proper subset?a) A = {2, 3}, B = {...
A is a proper subset of B because all elements of A (1 and 2) are in B, and B has additional elements (3). A proper subset cannot be identical to the set it is a subset of.
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Which of the following represents a proper subset?a) A = {2, 3}, B = {2, 3}b) A = {1, 2}, B = {1, 2, 3}c) A = {1, 2, 3}, B = {1, 2, 3}d) A = {4, 5}, B = {1, 2, 4, 5}Correct answer is option 'B'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which of the following represents a proper subset?a) A = {2, 3}, B = {2, 3}b) A = {1, 2}, B = {1, 2, 3}c) A = {1, 2, 3}, B = {1, 2, 3}d) A = {4, 5}, B = {1, 2, 4, 5}Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following represents a proper subset?a) A = {2, 3}, B = {2, 3}b) A = {1, 2}, B = {1, 2, 3}c) A = {1, 2, 3}, B = {1, 2, 3}d) A = {4, 5}, B = {1, 2, 4, 5}Correct answer is option 'B'. Can you explain this answer?.
Which of the following represents a proper subset?a) A = {2, 3}, B = {2, 3}b) A = {1, 2}, B = {1, 2, 3}c) A = {1, 2, 3}, B = {1, 2, 3}d) A = {4, 5}, B = {1, 2, 4, 5}Correct answer is option 'B'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which of the following represents a proper subset?a) A = {2, 3}, B = {2, 3}b) A = {1, 2}, B = {1, 2, 3}c) A = {1, 2, 3}, B = {1, 2, 3}d) A = {4, 5}, B = {1, 2, 4, 5}Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following represents a proper subset?a) A = {2, 3}, B = {2, 3}b) A = {1, 2}, B = {1, 2, 3}c) A = {1, 2, 3}, B = {1, 2, 3}d) A = {4, 5}, B = {1, 2, 4, 5}Correct answer is option 'B'. Can you explain this answer?.
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