Final answer:
The truth value for ∀xP(x) where P(x) = x > 5 and x is the domain of all real numbers is false.
Step-by-step explanation:
The truth value for ∀xP(x) where P(x) = x > 5 and x is the domain of all real numbers is false. The universal quantifier ∀ states that the statement P(x) is true for every value of x in the domain. However, in this case, P(x) is not true for every real number because there are real numbers that are not greater than 5. Therefore, the truth value for the statement is false.