What type of set is the set of all multiples of 7 in N?
Answer and explanation
Correct answer: Infinite set
The multiples of 7 in the natural numbers are 7, 14, 21, 28, 35, and so on. For every natural number n, 7n is another multiple of 7, so the list never ends. Therefore, the set has infinitely many elements and is an infinite set. It is not empty, a singleton, or a set containing only seven elements.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The multiples of 7 in the natural numbers are 7, 14, 21, 28, 35, and so on. For every natural number n, 7n is another multiple of 7, so the list never ends. Therefore, the set has infinitely many elements and is an infinite set. It is not empty, a singleton, or a set containing only seven elements.
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.
