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

question 88

True/False

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.
- $$\forall x \forall y ( x \neq y \rightarrow ( P ( x , y ) \vee P ( y , x ) )$$

---

Definitions:

Upward

Directed or moving towards a higher place or position.

Downward

Describes the direction that is towards a lower position or level.

Graph

A visual representation of data or mathematical functions, often displayed within a coordinate system.

Equation

A mathematical statement that asserts the equality of two expressions, consisting of variables and constants.