Final answer:
The set of numbers made up only of integers from the list provided by the student is {0, 4, 6, 24}. Numbers -2 4/7 and 2/3 are not integers as they contain fractions.
Step-by-step explanation:
The student has provided a list of numbers: -2 4/7, 0, 2/3, 4, 6, 24. The question is which set of numbers is only made up of integers. An integer is a whole number and does not include fractions or decimals. In the provided list, the numbers that are integers are 0, 4, 6, and 24. The number -2 4/7 contains a fraction, and 2/3 is also a fraction, so they are not integers. Therefore, the set of numbers that is made up only of integers is {0, 4, 6, 24}.
Out of the given set of numbers, the only set that consists of integers is:
-2, 0, 4
An integer is a whole number that can be positive, negative, or zero. In this set, all the numbers are whole numbers and do not have fractional or decimal parts.