Answer
$\{0,1, 2,3, 4,5,6\}$
Work Step by Step
Our goal is to find the union of the two given sets:
$\{0,1, 3,5\}\cup \{2,4,6\}$
To find the union, we first list the elements of the first set: $0,1, 3,5$. Next, we list the elements of the second set: $2,4,6$. We write the elements common to both sets: $0,1, 2,3, 4,5,6$. Note that we do not repeat any elements, even if they appear in both sets. The result is the union:
$\{0,1, 3,5\}\cup \{2,4,6\}=\{0,1, 2,3, 4,5,6\}$