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Write the negation of the statement Remember that the negation of p _ If you borrow q is p ^ ~q my clothes, don t mess up my closet Choose the correct answer belowY...

Question

Write the negation of the statement Remember that the negation of p _ If you borrow q is p ^ ~q my clothes, don t mess up my closet Choose the correct answer belowYou dont mess up my closet and borrow my clothes: You dont borrow my clothes and dontt mess You borrow up my closet my clothes and mess Up my closet. You dontt bortow my clothes and mess up my closet

Write the negation of the statement Remember that the negation of p _ If you borrow q is p ^ ~q my clothes, don t mess up my closet Choose the correct answer below You dont mess up my closet and borrow my clothes: You dont borrow my clothes and dontt mess You borrow up my closet my clothes and mess Up my closet. You dontt bortow my clothes and mess up my closet



Answers

Write the negation of each statement. Remember that the negation of $p \rightarrow q$ is $p \wedge \sim q$ .

If you ask me, I will do it.

Obviously last night, the negation of our statement. And let's let P be if you are not part of the solution and then Q b, you're part of the problem. So we have a delegation of our conditional is equivalent to pee. And the negation cute carpi is you're not part of the solution, and then we Howard connective ends and then que ordination of Q, which is you are not part of the problem.

Okay so as to find the negation of our sentence. So let's let PB you don't love me on q B. I won't be happy, so if we negate that, that's equivalent to pee on the negation of Q. So we have p, which is you don't love me, our connective and and in the negation of Q, which ISS I will be happy.

Okay, so we have the following statement. If he's my brother's, that he's not happy. So it's like PB. He's my brother and Q B. He's not heavy. So if you negate are following statement that's equivalent to pee, which is He's my brother, and then our connective. And and then the invasion of Q, which is que is He's not heavy, so negation of Q is he's heavy.

Okay, so we want to show that if P or two and not pee or are bent u r r a tautology that if we want to show that it is logically equivalent to truth. So let's begin Key or Q and not Pete. What are then Q R R is logically equivalent to We'll see. Throw in an extra line like there. It's logically equivalent to not pee or Q and not P R R oh too. Or are, which is logically equivalent two. Not pee or two o R. Not not Pee or are our two, or are by the Morgan slaw and then by the markets law again, forget that this is logically equivalent to not P and not Q core P. And not far or two, or are. And the reason why we have P and not not P is because he and not a PR logically equivalent. And then you think the community property we get that this is logically equivalent to Q or not Pete and not q o r. Our corps. He and not our and you think distributive property on cue and are we get that this is logically equivalent to to or not pee and two oh, are not Q or Oh or P and are or not you are. And if we observe, we have cute or not, Q. And we have our or not are, which is actually just logically equivalent, too true and by the identity Inslaw. We get that we can't just revise this as to or not pee o r are or Pete, because you can't just ignore these and keep these. And I just went ahead and remove the poor entities so it would be more so. It would be easier to see to read. And then we can use the distributive property again and dried Q or not P or P, or are. And once again we have not P or P, which is true again. So we get true or two or are which is logically equivalent to true or too or, uh and then we can. Once again, you see, we can use the domination law and just end up writing that this is logically equivalent. True. So we get that this this logically equivalent trail. Therefore, it's just talk


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