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

question 25

True/False

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

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Definitions:

Incidence

The occurrence, rate, or frequency of a disease, disorder, or event in a specified population over a particular period of time.

Small Population

A group of individuals or entities considered small in number within a larger context or comparison.

Epidemiological Study

A research investigation that aims to identify the patterns, causes, and control of diseases in groups of people.

Eating Disorders

Mental disorders that involve abnormal eating habits that negatively impact a person's physical or mental health, including anorexia, bulimia, and binge eating disorder.