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(2.3), P(3.1), P(3.2) are true , and P(x,y) is false in other cases. Determine when the following statement is true, and specify in case there are counterexamples:

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A: Hi check below for the multiple choice question answers with the explanation.

Q: a)    (p ∧ ~q) ∧ p True False

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A: The complete explanation is given below.

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A:

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A: Answer: I have explained in brief. you ca see below in details.

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A:

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A: Let's see the solution in the next steps

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A:

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A: Lets discuss the solution in the next steps

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Predicates

A predicate is a function defined with set of variables, which returns the result True or False. The output of a predicate is a Boolean value as a response when given a set of parameters: