P(x, y) means
$$“ x + 2 y = x y "$$
where x and y are integers. Determine the truth value of the statement.
-$$\neg \forall x \exists y \neg P ( x , y )$$

Question

P(x, y) means 
 $$“ x + 2 y = x y "$$
 where x and y are integers. Determine the truth value of the statement.
-$$\neg \forall x \exists y \neg P ( x , y )$$

Quizplus · Accepted Answer

The statement $\neg \forall x \exists y \neg P ( x , y )$ means "It is not true that for every x, there exists a y such that x + 2y ≠ xy." This implies there exists some x for which no y makes x + 2y ≠ xy, meaning for some x, x + 2y = xy for all y, which is not possible for all integers x and y.

P(x, Y) Means “x+2y=xy"“ x + 2 y = x y "“x+2y=xy"

P(x, Y) Means $“ x + 2 y = x y "$