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Consider the following premises of the argument:p = q (~r) v (~q)Select one valid conclusion from the following list:7p(d) p ^ -q...

Question

Consider the following premises of the argument:p = q (~r) v (~q)Select one valid conclusion from the following list:7p(d) p ^ -q

Consider the following premises of the argument: p = q (~r) v (~q) Select one valid conclusion from the following list: 7p (d) p ^ -q



Answers

Determine whether each argument is valid or invalid. If it is valid, give a proof. If it is invalid, give an assignment of truth Values to the variables that makes the premises true and the conclusion false.

$$\begin{array}{l}{p \rightarrow q} \\ {\frac{q \rightarrow p}{p \wedge q}}\end{array}$$

Okay, so we want to build a compound proposition. You think the variables he Q and R And we want this company proposition to be true only when P and Q are true and our is full and we wanted to be false. Otherwise, the problem gives us a hint that says that we can find the compound proposition that we desire if we use the consumption of each proposition, variable or investigation. Well, if we have the compound Proposition P and Q and not our. This is true when pants you're true and our fault because P and Q are true. So this part is true and our fault. I'm not our true, therefore, this whole thing. It's true, however, either peor que are full in any scenario where pure cure phones holding itself because we have a conjunction right here. Also, if there's any scenario where art is true, we have that not ours, folks. Therefore, this convention doesn't work and it's full soapy. Thank you and not our is the compound proposition

Hey, it's Claire. So when you read here so we're given this follows sub and Q. Your four are then we're trying to prove this. You, too. He's something therefore Cuban on. So we have our arguments with premise p one p two all the way till peace up in so that for our first case, let's assume vacuous falls then if Q. Then our is true so we could get un conclude if Q then are. And for our second case, let's assume that cues true. So we give. We know that, um, the p one p two all the way till p and thank your true. So we know that the conclusion are is going to be valid. So are conditional statement if q than our is also true. So we conclude the statement from what we're given. So we have concluded this

Answer for reaching 23. The argument to be valid The conjunction off the premises must employ the conclusion Do you want be? Look, you promise be to you. They are Brems. He's read me premise before. Oh, and this friends see one you do you want? He's three more despondent. See Tomb? Uh huh. He to see one more response, See, is people. We do the shank tip service, so argument is valid.

So were asked to determine was whether our argument is valid or invalid. God created a table here. He'll fill it up So we have p work you so me, right are Colmes low R P and Q chilled True, false that close and then you have true false shoe and pulse. Okay, so now it's, um take the disjunction between p and Q So we have true, true, true and false. And now, um, but you write r p that is we have true, true, false and false. And now let's take our conjunction between these two. So we get the falling okay. And now I want to find our negation of cube, which is false. True, false, true. A Now find our conditional between our two black Collins. This column here and this one right here. So he gets most true, true and true. So we see that are solution has one full statement and the rest is true. So since it's not all true, our statement is invalid.


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