Math, asked by amazingstoryandcomic, 8 months ago

True or False. 1).The set of whole numbers is a finite set. ​

Answers

Answered by Anonymous
17

Finite sets:-

Finite sets are the sets having a finite/countable number of members. Finite sets are also known as countable sets as they can be counted. The process will run out of elements to list if the elements of this set have a finite number of members.

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1).The set of whole numbers is a finite set.

=> It's False.It's infinite set as it contains infinite elements.

s={0,1,2,3,4,................}

Answered by pulakmath007
2

It is False that the set of whole numbers is a finite set.

Given :

Statement : The set of whole numbers is a finite set.

To find :

True or False the given statement

Solution :

Step 1 of 3 :

Write down the given statement

Here the given statement is "The set of whole numbers is a finite set. "

Step 2 of 3 :

Find the set

Here the given set is the set of whole numbers

Let W be the set of whole numbers

∴ W = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , . . . . . }

Step 3 of 3 :

True or False the given statement

We know that a set is said to be finite set if the set contains finite number of elements

Here , W = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , . . . . . }

So the set of whole numbers contains infinite number of elements

Therefore W is an infinite set

∴ The set of whole numbers is not finite set

Hence the statement "The set of whole numbers is a finite set. " is False

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