Let A = {x ∈ N : x divides 18} and B = {1, 2, 3, 6, 9, 18}. Which option is correct?
Answer and explanation
Correct answer: A = B
The condition x ∈ N and x divides 18 means that A contains all positive divisors of 18. These divisors are 1, 2, 3, 6, 9, and 18, so A = {1, 2, 3, 6, 9, 18}. This list is exactly B; hence A = B. Option B is false because 1, 6, 9, and 18 are not prime. Option C is false because the two sets have all the same elements. Option D is false because 18 divides itself.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The condition x ∈ N and x divides 18 means that A contains all positive divisors of 18. These divisors are 1, 2, 3, 6, 9, and 18, so A = {1, 2, 3, 6, 9, 18}. This list is exactly B; hence A = B. Option B is false because 1, 6, 9, and 18 are not prime. Option C is false because the two sets have all the same elements. Option D is false because 18 divides itself.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
