What type of set is A = {x : x is a multiple of 5}?
Answer and explanation
Correct answer: Infinite set
The multiples of 5 include 5, 10, 15, 20, 25, and so on. For every multiple listed, another larger multiple can be obtained by adding 5, so the list never terminates. Therefore, the set contains infinitely many elements and is an infinite set. It is not empty, finite, or a singleton. Hence, option C is correct.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The multiples of 5 include 5, 10, 15, 20, 25, and so on. For every multiple listed, another larger multiple can be obtained by adding 5, so the list never terminates. Therefore, the set contains infinitely many elements and is an infinite set. It is not empty, finite, or a singleton. Hence, option C 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.
