Question

how do you write {2,4,6,8,10} in set-builder form

Answer 1

\left( x I x in E ^ x le 10)

Answer 2

Warm Welcome To Open Study ......... Sir/ Ma'am @boloapril

Answer 3

Each element in the set is an even integer between 2 and 10, inclusive. You could thus write the set as
\[\left\{n~:~\underbrace{n=2k}_{\text{even}}~,~\underbrace{k\in\{1,2,3,4,5\}}_{\text{all factors}}\right\}\]