Let A = {x : x is a prime number and x < 10} and B = {2, 3, 5, 7}. Which statement is correct?
Answer and explanation
Correct answer: A = B
The prime numbers less than 10 are 2, 3, 5, and 7. Therefore, A = {2,3,5,7}, which contains exactly the same elements as B. Sets are equal when they have the same elements, regardless of order. Option B and option C incorrectly claim a proper-subset relationship, while option D incorrectly includes 1; 1 is neither prime nor composite. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The prime numbers less than 10 are 2, 3, 5, and 7. Therefore, A = {2,3,5,7}, which contains exactly the same elements as B. Sets are equal when they have the same elements, regardless of order. Option B and option C incorrectly claim a proper-subset relationship, while option D incorrectly includes 1; 1 is neither prime nor composite. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
