Question

Is {x:x€N and x is prime}finite set? ​

Answer 1

Step-by-step explanation:

No it is not finite set .

Because natural numbers which are prime are infinite.Thus it is a infinite set

hope you understand

please mark it

Answer 2

Question :

Is {x:x€N and x is prime} a finite set?

Answer :

No, it is not a finite set.

Given :

The set {x:x€N and x is prime}

To find :

Whether it is finite or not

Solution :

The set {x:x€N and x is prime} in tabular form will be ,

{ 2, 3, 5, 7, 11, 13, 17, 19, 23 , 29, 31, 37..........}

It continues till infinity since no range is set.

• A prime number is one which has exactly two factors , one is 1 and the other is the number itself.
• The given set is given in set builder form.
• We converted it into tabular or roster form.
• We found that the set started from 2 and it continues without any end.

Hence, we can say that the set {x:x€N and x is prime} is not a finite set, rather its an infinite set.

#SPJ3