If A = {2, 3, 5, 7} and B = {x : x is a prime digit less than 10}, which option is correct?
Answer and explanation
Correct answer: A = B
The prime digits less than 10 are 2, 3, 5, and 7. Therefore B = {2, 3, 5, 7}, which has exactly the same elements as A. Hence A = B. The digit 0 is not prime, and 1 is also not prime, so neither can be added to B. Options B and C incorrectly claim a proper-subset relationship, which requires one set to contain an element absent from the other. Option D is false because the intersection is the whole set, not {1}.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The prime digits less than 10 are 2, 3, 5, and 7. Therefore B = {2, 3, 5, 7}, which has exactly the same elements as A. Hence A = B. The digit 0 is not prime, and 1 is also not prime, so neither can be added to B. Options B and C incorrectly claim a proper-subset relationship, which requires one set to contain an element absent from the other. Option D is false because the intersection is the whole set, not {1}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
