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

question 86

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


Definitions:

Supply

The total amount of a product or service that is available to consumers at a given price point and time.

Technology

The application of scientific knowledge for practical purposes, especially in industry and improvements in tools, machines, techniques, and systems.

Personal Computers

Computing devices designed for individual use, capable of performing a wide range of tasks including word processing, internet browsing, and gaming.

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a given price during a specific period.

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