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].