State, whether each of the following sets is a finite set or an infinite set:

i The set of multiples of 8.

Open in App

Solution

Step: Check whether the given set is a finite set or an infinite set
We know that,
Finite sets are the sets having a finite/countable number of memebers.

Infinite sets are the sets having an infinite/uncountable number of members.

The set of multiple of 8 = 8,16,24,32,40............

We can see that there are uncountable multiples of 8.

Therefore, given set is an infinite set.

Hence, the set of multiples of 8 is an infinite set.

Suggest Corrections

Similar questions

State whether the given set is finite or infinite.

{Multiple of $7$ }

State whether each of the following sets is a finite set or an infinite set:

(i) The set of multiples of 8.

(ii) The set of integers less than 10.

(iii) The set of whole numbers less than 12.

(iv) ${x : x = 3 n - 2, n \in W, n \leq 8}$ (v) ${x : x = 3 n - 2, n \in Z, n \leq 8}$ (vi) ${x : x = \frac{n - 2}{n + 1}, n \in W}$

For each set, given below, state whether it is finite set, infinite set or the null set:

{Multiples of 8.}

{x : x = 3 n - 2, n \in W, n \leq 8}

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program