Answer to Question #132391 in Discrete Mathematics for Promise Omiponle

Question

Determine the truth value of each of ∀x∀y∃z(z=(x+y)/2)

Answer 1

The truth value of each of ∀x∀y∃z(z=(x+y)/2) is TRUE.

Because the rule z = (x + y)/2 determines a function, and hence the quantity z exists for all values of real numbers of variables x and y.