suppose P(x, y) is a predicate and the universe for the variables x and y is {1, 2, 3}. Suppose
P(1, 3), P(2, 1), P(2, 2), P(2, 3), P(3, 1), P(3, 2) are true, and P(x, y) is false otherwise. Determine whether the following statements are true.
-$$\forall x \exists y P ( x , y )$$

Question

Quizplus · Accepted Answer

For every value of $x$ in the universe $\{1, 2, 3\}$, there exists at least one value of $y$ in the same universe such that $P(x, y)$ is true, satisfying the statement $\forall x \exists y P(x, y)$.

Suppose P(x, Y) Is a Predicate and the Universe for the Variables