Answer
$\{1,2,3,4,5\}$
Work Step by Step
Our goal is to find the union of the two given sets:
$\{1,2,3,4\}\cup \{2,4,5\}$
To find the union, we first list the elements of the first set: $1,2,3,4$. Next, we list the elements of the second set: $2,4,5$. We write the elements common to both sets: $1,2,3,4,5$. Note that we do not repeat any elements, even if they appear in both sets. The result is the union:
$\{1,2,3,4\}\cup \{2,4,5\}=\{1,2,3,4,5\}$
