What type of set is F = {x : x is a positive multiple of 5}?
Answer and explanation
Correct answer: Infinite set
The positive multiples of 5 are 5, 10, 15, 20, 25, and so on. For every listed positive multiple, adding 5 gives another positive multiple, so the sequence has no final term. Because the set continues without end, it contains infinitely many elements and is an infinite set. It is neither empty nor finite.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The positive multiples of 5 are 5, 10, 15, 20, 25, and so on. For every listed positive multiple, adding 5 gives another positive multiple, so the sequence has no final term. Because the set continues without end, it contains infinitely many elements and is an infinite set. It is neither empty nor finite.
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.
