Answer:
{ x ∈ ℕ | x > 2 } ( Option C)Explanations:
Let x represents the number of classmates surveyed by each student.
The total number of completes surveys is given by:
s(x) = 6x
It is stated as a condition in the question that each student surveys more than 2 of their classmates.
Mathematically, this means that x > 2.
Since the number of classmates (x) cannot be a decimal, neither can it be a negative number, this shows that x is a natural number ( ℕ)
Therefore, the domain of the function will be:
{ x ∈ ℕ | x > 2 }
Note: that x cannot be a real number because real numbers(R) can include decimal and negative numbers. x can also not be integers (Z) because integers can be positive or negative whole numbers
x can also not be a rational number (Q) because the number of classmates cannot be a fraction.
