If A = {x : x is an odd natural number less than 9} and B = {1, 3, 5, 7}, which option is correct?
Answer and explanation
Correct answer: A = B
The governing concept is equality of sets: two sets are equal when they contain exactly the same elements, regardless of how they are described. The odd natural numbers less than 9 are 1, 3, 5, and 7. The endpoint 9 is excluded because the condition is strictly less than 9. Thus A = {1, 3, 5, 7}, which is precisely B. Neither set is a proper subset of the other, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The governing concept is equality of sets: two sets are equal when they contain exactly the same elements, regardless of how they are described. The odd natural numbers less than 9 are 1, 3, 5, and 7. The endpoint 9 is excluded because the condition is strictly less than 9. Thus A = {1, 3, 5, 7}, which is precisely B. Neither set is a proper subset of the other, so 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.
