Respuesta :

Given:

The set is:

[tex]\{2,3,5,7,11\}[/tex]

To find:

The set builder notation for the given set.

Solution:

Consider the given set:

[tex]S=\{2,3,5,7,11\}[/tex]

The element of given set are 2, 3, 5, 7, 11 and so on. These area the prime numbers.

If x defines each element of the set then x must belongs to P which is the set of prime numbers. So, the given set can be written as

[tex]S=\{x|x\in P\}[/tex]

Therefore, the set builder notation for the given set is [tex]\{x|x\in P\}[/tex].