# Give one example each for a finite set and an infinite set.

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Hint: A finite set has countable numbers and an infinite set has uncountable numbers so use this concept to reach the solution of the question.

Complete step-by-step answer:

In mathematics, a finite set is a set that has a finite number of elements, or we can say that a finite set is a set which one could write in principle count i.e. when we start counting we can finish the count.

For example consider P is a set of natural numbers less than 15, i.e.

$p = \left\{ {x : x < 15,x \in N} \right\}$

P is an example of a finite set.

Now, in mathematics, an infinite set is a set that has infinite number of elements, or we can say that infinite set whose elements cannot be listed if it has unlimited (i.e. uncountable)

For example consider Q is a set of all natural numbers, i.e.

$Q = \left\{ {x : x \in N} \right\}$

Q is an example of an infinite set.

Note: In such types of questions the key concept we have to remember is that always recall the property of finite and an infinite set which is stated above then using this property make any examples of finite as well as infinite set as above which is the required answer.

Complete step-by-step answer:

In mathematics, a finite set is a set that has a finite number of elements, or we can say that a finite set is a set which one could write in principle count i.e. when we start counting we can finish the count.

For example consider P is a set of natural numbers less than 15, i.e.

$p = \left\{ {x : x < 15,x \in N} \right\}$

P is an example of a finite set.

Now, in mathematics, an infinite set is a set that has infinite number of elements, or we can say that infinite set whose elements cannot be listed if it has unlimited (i.e. uncountable)

For example consider Q is a set of all natural numbers, i.e.

$Q = \left\{ {x : x \in N} \right\}$

Q is an example of an infinite set.

Note: In such types of questions the key concept we have to remember is that always recall the property of finite and an infinite set which is stated above then using this property make any examples of finite as well as infinite set as above which is the required answer.

Last updated date: 27th Sep 2023

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