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Fiud stateruent equivalent to (~ P ^ R) = Q that does not contain statement thal you have foundSiwuplify the...

Question

Fiud stateruent equivalent to (~ P ^ R) = Q that does not contain statement thal you have foundSiwuplify the

Fiud stateruent equivalent to (~ P ^ R) = Q that does not contain statement thal you have found Siwuplify the



Answers

Show that $p|(q | r) \text { and }(p | q)| r$ are not equivalent, so that the logical operator $|$ is not associative.

So here we are given a statement that is negation P. That is if negation P then P. N. Not you. So we need to find out the controversy. Oh this treatment. Okay. So we know that let us consider a statement. If P then Q. Then contra paucity of this will be if not killed then not. Okay. So here also will consider like that that let us consider this as P. And Q. Then first figure trade the negation of this. That is no additional D. And not Q. Then negation of negation of peace. That is negation of In addition, so we can open the bracket that is not B or Q. That is if not your cue, then this will be the contra positive of the given statement. And there's this option for.

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 we have the following statement. I would watch out if I were you. So it's rewrite that as as a condition of name. And so that's if I were you. Then I would watch out. Okay, so let's let p be if I were you and then Q b I would watch out. So then we have p implies kill, and that's equivalent to the negation of peace. That's I am not you or I would watch out.

So here we are given there P. And cuba statements P. M. To two statements and may not find out a statement which is equal and to just given state. And that given statement is pure negation of if P then not you. Okay. So they just named the statement as our so we need to find out another statement which is a colony of the state. So we can make use of the truth table that is P. And Q. And we did not kill if P then not you. The negation of test that is negation of if he then not cute and up. Okay so P and you can take one to TNT. TNF. Yeah, randy and if and if so negation of this. Q will be ft 50. So if the the negation curious balls, truth two and two. So negation of this will be true false salt and false. So now we need pure negation of if we then not that is no, I guess not. He then not cute. The D o t, e, s t, the RFs, the and F four F is F and therefore, if you six. So clearly we can say that this is equal into B definitely can tell you that the given statement is equal and B.


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