Given:
The set is:
![\{2,3,5,7,11\}](https://img.qammunity.org/2022/formulas/mathematics/high-school/y3i2gj87667ufa1fawcmmqlwghgl9ve55r.png)
To find:
The set builder notation for the given set.
Solution:
Consider the given set:
![S=\{2,3,5,7,11\}](https://img.qammunity.org/2022/formulas/mathematics/high-school/1ciy25p82auiquu8x79ojam8kl00hue3yq.png)
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
![S=\x\in P\](https://img.qammunity.org/2022/formulas/mathematics/high-school/zcdtuestmdhs7zr7zx55u8rrtvxpiqu9xa.png)
Therefore, the set builder notation for the given set is
.