Final answer:
The given set {0, 5, 10, 15} can be identified as integers and whole numbers.
Step-by-step explanation:
The given set {0, 5, 10, 15} contains the numbers 0, 5, 10, and 15. To identify which category these numbers belong to, we can refer to the definitions of integers, whole numbers, and natural numbers.
- Integers include positive and negative whole numbers, as well as zero. Therefore, 0, 5, 10, and 15 are all integers.
- Natural numbers are positive whole numbers excluding zero. Since 0 is not included, {5, 10, 15} are not natural numbers.
- Whole numbers include all positive and negative integers, as well as zero. Therefore, {0, 5, 10, 15} are also whole numbers.
Therefore, the given set {0, 5, 10, 15} can be identified as integers and whole numbers.