The set builder notation represents the solution as an inequality that has the values of the solution.
The values of x that are greater than or equal to 0 and less than or equal to 5 are represented in inequality form by 0 <= x <= 5.
Therefore the set builder notation is given by:
![\lbrace x|0\leq x\leq5\rbrace](https://img.qammunity.org/2023/formulas/mathematics/college/k4psbrix3mazk4zts8n6utdjacx8xx74q5.png)
So the correct option is the fourth one.