If A = {3, 6, 9, 12} and B = {x : x ∈ ℕ, x is a multiple of 3 and x < 15}, which statement is correct?
Answer and explanation
Correct answer: A = B
For B, we list the natural numbers that are multiples of 3 and less than 15. They are 3, 6, 9, and 12; 15 is excluded because the condition is x < 15. Thus B = {3, 6, 9, 12}, which contains exactly the same elements as A. Since two sets are equal when they have precisely the same elements, A = B. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
For B, we list the natural numbers that are multiples of 3 and less than 15. They are 3, 6, 9, and 12; 15 is excluded because the condition is x < 15. Thus B = {3, 6, 9, 12}, which contains exactly the same elements as A. Since two sets are equal when they have precisely the same elements, A = B. Therefore, option A is correct.
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.
