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4. (9 points) Consider the following truth table: PQR ???? T T T F TTF F TF T T

ID: 3735948 • Letter: 4

Question

4. (9 points) Consider the following truth table: PQR ???? T T T F TTF F TF T T TFF F FT F T Please write a proposition which would have the table above as its truth table. Answer MUST BE IN SIMPLIFIED FORM QUESTION 5 on next page (20 points-(5 x 4 points) For each of the following arguments, indicate what rule Denying the consequent (DC), Affirming the antecedent (AA), or Disjunctive syllogism (DS)) can be used to justify the conclusion. You must show your work as discussed in lecture to get full credit. i.e. P1: P2: C: a. Annette cooks dinner Monday evening only if she doesn't have to go to the movies late Monday evening. So Annette doesn't cook dinner Monday evening because she has to go to the movies late Monday evening. b. Rochelle sells blueberry muffins at the church bazzar this weekend if her sister babysits their baby brother Saturday morning. Since her sister babysits their baby brother Saturday morning it follows that Rochelle sells blueberry muffins at the church bazzar this weekend. c. Either Sonia or Keeley washes the neighbor's car Sunday afternoon. Keeley has to work Sunday afternoon at the store. Hence Sonia washes the neighbor's car Sunday afternoon.

Explanation / Answer

As per Chegg policy, I am answering only first question. In order to get the remaining questions please upload them again.Let output, Y = f(P,Q,R)

From truth table, Y = (P^~Q^R) v (~P^Q^~R)

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