Final answer:
The set of numbers that are integers but not whole numbers or natural numbers is {-2,-3,-4}, which are negative integers, because they are not considered to be whole or natural numbers.
Step-by-step explanation:
To answer the question, 'which set of numbers are integers but not whole numbers or natural numbers?', it's important to first understand what integers, whole numbers, and natural numbers are. Integers include all whole numbers and their negative counterparts. Whole numbers are all the natural numbers including zero, where natural numbers are all positive, non-zero integers.
Given the options, we can determine the answer as follows:
- a. {√2, 7, √3} - This set includes square roots (which are not integers) hence, it is not an answer.
- b. { 2, 0, 1, 2, 3} - This set includes only whole numbers and thus this set falls into the category of whole numbers as well not only integers.
- c. {v=1, v=4, v=5} - This set is not specified properly, but seems to refer to the square root, which are not integers.
- d. { - 2, -3, - 4} - This set includes negative numbers. These are indeed integers, but they are neither whole numbers nor natural numbers. Hence, this is the correct answer.
To summarize, option d is the correct answer because it contains integers that are not whole numbers or natural numbers.
Learn more about Integers and Whole Numbers