If A = {x : x ∈ N and x is a divisor of 18} and B = {1, 2, 3, 6, 9, 18}, what is the correct relation?
Answer and explanation
Correct answer: A = B
The positive natural-number divisors of 18 are 1, 2, 3, 6, 9, and 18. Therefore, the set-builder description of A gives A = {1, 2, 3, 6, 9, 18}, which is exactly the roster description of B. Since two sets are equal when they contain precisely the same elements, A = B. Neither set is a proper subset of the other, and their intersection is certainly not empty.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The positive natural-number divisors of 18 are 1, 2, 3, 6, 9, and 18. Therefore, the set-builder description of A gives A = {1, 2, 3, 6, 9, 18}, which is exactly the roster description of B. Since two sets are equal when they contain precisely the same elements, A = B. Neither set is a proper subset of the other, and their intersection is certainly not empty.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
