Question

a collection of even prime no. is
(a)a void set
(b)a infinite set
(c)not a set
(d)a singleton set​

Answer 1

A collection of even prime numbers is a singleton set.

Step-by-step explanation:

Prime numbers are numbers that have only 2 factors: 1 and themselves.

• Example: 3 is a prime number because the factors of 3 are 3 * 1.
• Similarly, the first 5 prime numbers are 2, 3, 5, 7, and 11.

Now, if we consider a collection of even prime numbers, then 2 is the only number that is even and also a prime number. All other prime numbers are odd numbers.

So, a collection of even prime numbers is a singleton set. A singleton set is a unit set or a set with exactly one element.  

Option D is the answer.

Answer 2

A collection of even prime numbers is a singleton set.

Given :

A collection of even prime no. is?

To find :

The given question represents which set?

Solution :

Prime Numbers :

• Prime Number is a number that has only two factors that are 1 and the number itself.

For example -

• Number 2 has only two factors 1 and the number itself. which means number two can divide by only 1 and by itself.

1 x 2 = 2

2 x 1 = 2.

Even Numbers :

• Numbers that can be exactly divisible by 2 are called even numbers.

• All even numbers are divisible by 2, 1, and by the number itself.

Singleton Set :

• A Singleton set is a set that contains only one element. This set contains only one element. The number "2" is the only prime number.

• Let A = {x : x is a even prime number}
• Here, A is a singleton set because there is only one prime number which is even 2.

Hence, a collection of even prime number is a singleton set.