If A = {2, 4, 6} and B = {x : x is an even natural number less than 7}, what is the correct relation?
Answer and explanation
Correct answer: A = B
The even natural numbers strictly less than 7 are 2, 4, and 6. Thus the set-builder description gives B = {2, 4, 6}. Set equality depends on having exactly the same elements, not on how the elements are obtained or ordered. Since A already contains precisely these three members, A and B are equal. Therefore option A is correct; A is not empty and B is finite, not infinite.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The even natural numbers strictly less than 7 are 2, 4, and 6. Thus the set-builder description gives B = {2, 4, 6}. Set equality depends on having exactly the same elements, not on how the elements are obtained or ordered. Since A already contains precisely these three members, A and B are equal. Therefore option A is correct; A is not empty and B is finite, not infinite.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
