Final answer:
The truth set of the predicate x³=2 in the domain of integers is the empty set.
Step-by-step explanation:
In order to find the truth set of the predicate P(x): x³=2 in the domain of integers, we need to determine the values of x that make the equation true. By taking the cube root of both sides, we find that x = ∛2, which means that x must have a non-integer value. Since the domain is a set of integers, there are no integers that satisfy the equation. Therefore, the truth set is the empty set: {}.