Set A is the set of all positive multiples of 7. What type of set is it?
Answer and explanation
Correct answer: Infinite set
The positive multiples of 7 are 7, 14, 21, 28, 35, and so on. Multiplying 7 by every positive natural number produces another member, and there is no greatest positive natural number. Consequently, the list of positive multiples never ends. Therefore A has infinitely many elements and is an infinite set.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The positive multiples of 7 are 7, 14, 21, 28, 35, and so on. Multiplying 7 by every positive natural number produces another member, and there is no greatest positive natural number. Consequently, the list of positive multiples never ends. Therefore A has infinitely many elements and is an infinite set.
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.