Final answer:
The set of numbers that does NOT include -V25 is the set of Whole Numbers.
Step-by-step explanation:
The set of numbers that does NOT include -V25 is the set of Whole Numbers.
Whole numbers include all positive integers from 0 onwards. The square root of 25 is 5, but the negative square root of 25 is -5. Therefore, -V25 is not a whole number.
The other number sets include -V25. Real numbers are the numbers which include all rational and irrational numbers, integers include positive and negative whole numbers, and rational numbers can be expressed as fractions or decimals.