If A = {x ∈ ℕ : x is divisible by 4} and B = {4, 8, 12, ..., 40}, which statement is correct?
Answer and explanation
Correct answer: A ≠ B, because A is infinite and B is finite
Set A contains every natural-number multiple of 4: 4, 8, 12, 16, 20, and so on without a final member, so A is infinite. Set B lists only the multiples from 4 through 40, namely ten elements, and therefore is finite. Although the terms begin similarly, B stops at 40 while A continues beyond 40. Since their elements are not the same, A and B are not equal.
Frequently asked questions
What is the correct answer to this question?
A ≠ B, because A is infinite and B is finite
Why is this the correct answer?
Set A contains every natural-number multiple of 4: 4, 8, 12, 16, 20, and so on without a final member, so A is infinite. Set B lists only the multiples from 4 through 40, namely ten elements, and therefore is finite. Although the terms begin similarly, B stops at 40 while A continues beyond 40. Since their elements are not the same, A and B are not equal.
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.
