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Determine whether the following form represents valid argument:~p ~ ~r (p vr) = q~~q-rChoose the correct answer below:0A. The form represents valid argument because...

Question

Determine whether the following form represents valid argument:~p ~ ~r (p vr) = q~~q-rChoose the correct answer below:0A. The form represents valid argument because truth table shows that the conclusion is sometimes false when all the premises are true_ The form represents an invalid argument because a truth table shows that the conclusion is always true when all the premises are true. The form represents an invalid argument because a truth table shows that the conclusion is sometimes false when

Determine whether the following form represents valid argument: ~p ~ ~r (p vr) = q ~~q-r Choose the correct answer below: 0A. The form represents valid argument because truth table shows that the conclusion is sometimes false when all the premises are true_ The form represents an invalid argument because a truth table shows that the conclusion is always true when all the premises are true. The form represents an invalid argument because a truth table shows that the conclusion is sometimes false when all the premises are true_ The form represents valid argument because truth table shows that the conclusion is always true when all the premises are true: The form represents an invalid argument because a truth table shows that the conclusion can be true when some of the premises are false.



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.

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

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.

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

So he were asked to show if the argument given is valid. So we know that the argument given has these purpose, and the conclusion is this. So whereas he used Exercise 11 to show that it's valid and then to use Table one rules of inference to show how why it's valid. So we can say that this argument is valid if we all say that the same premise and adding and cue if we add Q, as a premise would make conclusion are, would make this new argument that ID. So let's say they both are bad Now, how can we show this? We'll do the step in reasons. Now we'll use Table one, the rules of interference, to show why this is that it So step one. We'll use a promise. So use if q than you, Auntie. Reason. This is a premise can do anything just yet, So let's put another premise if you then p by the premise. No, let's look back at the first step way. We know we could simplify this, so let's use one compound proposition in our segment simplification. So cue, then you so simplification of one instead of four. Now we could use steps two and three so we could rewrite this as if p then you. And if you think you so using hypothetical syllogism. F p car. If. Q. Then p reason. Hypothetical syllogism using two and three No set five. Let's use the second compound proposition that we did when we simplified number one. So that would be if Q. Then tea simplification one step six. We could same way that we simplify this, that we extended it because simplify for five. So that regardless if Q then open parentheses. PMT and that is the conjunction Conjunction. But for five. So we'll keep on Roland. So step reason. So Step seven, we could use another premise. So P and t then are or this promise step be We could look at what the previous two steps that six and step seven and using the table we you know, we could use hypothetical syllogism. So using steps six and seven, it will give us que then RRs hypothetical syllogism of six and seven Step nine. We'll use one of the new prince. So cue prose. The 10. If we look at steps eight and nine, you only get the table one. We'll see that we could solve this because he that are us. Thanks to notice Chorus Motors, Corners of eight and nine. Well, step 11. The last premise that we haven't used is not us. So I'm not s the premise except 12 Final step. We can look back at the table, look under disjunctive syllogism and see that using 10 and 11 it will give us are so using this junk of syllogism using 10 and 11 And we could see that if we use every promise given to us, the conclusion are is bad.


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