If A = {x : x ∈ N, x is a multiple of 4}, what type of set is A?
Answer and explanation
Correct answer: Infinite set
The natural-number multiples of 4 are 4, 8, 12, 16, 20, and so on. For every multiple listed, adding 4 produces another natural-number multiple, so the list never ends. There is no upper bound in the defining condition. Consequently, A contains infinitely many elements and is an infinite set. Option C is therefore correct.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The natural-number multiples of 4 are 4, 8, 12, 16, 20, and so on. For every multiple listed, adding 4 produces another natural-number multiple, so the list never ends. There is no upper bound in the defining condition. Consequently, A contains infinitely many elements and is an infinite set. Option C is therefore 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.
