If A = {2, 3} and B = {x : x is a prime factor of 12}, what is the correct relation between A and B?
Answer and explanation
Correct answer: A = B
The governing concept is equality of sets: two sets are equal when they contain exactly the same elements, regardless of how they are described. The prime factorisation of 12 is 2 × 2 × 3, so its distinct prime factors are 2 and 3; repeated factors are written only once in a set. Hence B = {2, 3} = A, making option A correct. Option B ignores set equality, while C and D contradict the listed finite elements.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The governing concept is equality of sets: two sets are equal when they contain exactly the same elements, regardless of how they are described. The prime factorisation of 12 is 2 × 2 × 3, so its distinct prime factors are 2 and 3; repeated factors are written only once in a set. Hence B = {2, 3} = A, making option A correct. Option B ignores set equality, while C and D contradict the listed finite elements.
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.
