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Finite and Infinite Sets

State true or...

Question

State true or false:

(ix) The set of whole numbers greater than 50 is an infinite set.

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Solution

Step : State true or false

A set is said to be infinite set, if it has a uncountable number of elements in it.

There are countless whole numbers above 50.

$∴$ The given set is an infinite set.

Hence, the given statement is true.

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Similar questions

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) ${x : x = \frac{n - 2}{n + 1}, n \in W}$

Set of all whole numbers less than $10$ is an infinite set.

Q. State true or false:

(vii) The set of letters in your mathematics book is an infinite set.

Q. State true or false:
(ix) Every whole numbers

\times 1 =

the whole number itself

In the set of whole numbers, 1 has a predecessor. State True or False?

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Finite and Infinite Sets

Standard X Mathematics

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