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

question 38

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

---

Definitions:

Behavioral Genetics

A field of study concerned with understanding how genetic and environmental factors influence behaviors, personality traits, and mental abilities.

Somatic Nervous

This pertains to the somatic nervous system, part of the peripheral nervous system associated with the voluntary control of body movements through the control of skeletal muscles.

Autonomic Nervous

A part of the nervous system that controls involuntary bodily functions, including heart rate, digestion, and respiratory rate.

Sympathetic Nervous

Part of the autonomic nervous system that activates the body's fight-or-flight response.