Final answer:
The inequality that can be used to find the domain of the function f(x) = √((1/2)x - 10) + 3 is x ≥ 20.
Step-by-step explanation:
To find the domain of the function f(x) = √((1/2)x - 10) + 3, we need to determine the values of x that make the expression inside the square root non-negative.
First, set the expression inside the square root greater than or equal to zero:
(1/2)x - 10 ≥ 0
Next, solve this inequality for x:
(1/2)x ≥ 10
x ≥ 20
Therefore, the domain of f(x) is x ≥ 20.