In which option are the two sets equal although their definitions look different?
Answer and explanation
Correct answer: A = {x ∈ N : x divides 24 and x is prime}, B = {2, 3}; A = B / A = B
For option A, the natural-number divisors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. Among them, the prime divisors are only 2 and 3. Therefore A = {2, 3}, which is exactly B. Two sets are equal when they contain the same elements, regardless of how their defining descriptions look. The other options produce different sets.
Frequently asked questions
What is the correct answer to this question?
A = {x ∈ N : x divides 24 and x is prime}, B = {2, 3}; A = B / A = B
Why is this the correct answer?
For option A, the natural-number divisors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. Among them, the prime divisors are only 2 and 3. Therefore A = {2, 3}, which is exactly B. Two sets are equal when they contain the same elements, regardless of how their defining descriptions look. The other options produce different sets.
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.
