If A = {x ∈ N : x is a factor of 24} and B = {1, 2, 3, 4, 6, 8, 12, 24}, which statement is correct?
Answer and explanation
Correct answer: A = B
A natural number is a factor of 24 if it divides 24 exactly. The positive factors are 1, 2, 3, 4, 6, 8, 12, and 24. This list is precisely the roster description of B. Since two sets are equal when they contain exactly the same elements, A = B. The set is finite, not infinite, and 24 is correctly included.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
A natural number is a factor of 24 if it divides 24 exactly. The positive factors are 1, 2, 3, 4, 6, 8, 12, and 24. This list is precisely the roster description of B. Since two sets are equal when they contain exactly the same elements, A = B. The set is finite, not infinite, and 24 is correctly included.
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.
