Final answer:
The domain of the function f(x) is all real numbers, and no inequality is needed to represent it unless otherwise specified by additional restrictions. In the case of a continuous probability density function, the probability of a specific value x is zero.
Step-by-step explanation:
The student is asking about the domain of a function, specifically the function f(x) = x - 10 + 3. The domain of a function is the set of all possible input values (x-values) for which the function is defined. In this case, since the function f(x) involves only a linear equation with no restrictions like square roots or denominators that could be undefined for certain values, the domain is all real numbers. Therefore, there are no inequalities needed to represent the domain of this function because it includes all real numbers. However, if we consider additional information that restricts the domain, such as 0 ≤ x ≤ 20, then the domain would be limited to this range. In this scenario, the inequality representing the domain is x ≥ 0 and x ≤ 20, but none of the provided answer choices directly reflect this restriction.
Regarding continuous probability distributions, assuming a function f(x) is a continuous probability density function, the probability of a specific value x within a continuous range is zero, since the probability is calculated over intervals. Therefore, when asked about the probability of x = 7 for a continuous distribution, the answer would be that P(x = 7) is zero.