Final answer:
The union of sets D and E, written as D U E, consists of the elements {2, 4, 5, 6, 7}, which include all unique elements from both sets without repetition.
Step-by-step explanation:
To find the union D U E of two sets D and E, we need to list all the elements that are in set D, set E, or both, without repeating any elements. The set D contains the elements 2, 5, and 7, while set E contains the elements 2, 4, 5, and 6.
When we combine these sets, the union D U E will have the elements:
- 2 (from both D and E)
- 4 (from E)
- 5 (from both D and E)
- 6 (from E)
- 7 (from D)
Therefore, the elements of the set D U E are {2, 4, 5, 6, 7}.