logically Equivalent Statements

Sticksz

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Sep 6, 2021
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Hello,
I was working on some problems and I am stumped on this one. The question is:
1631670323122.pngThe question states there can be more than one right answer, using demorgans law's I believe that the last one is correct? And I believe there is one more but I am not %100 sure. If someone could explain this to me that would be greatly appreciated. Thank you!
 
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You are looking for the equivalent of p¬q\Large p\wedge \neg q .
I think that I found two in the list. But even at 200%200\% viewing it is hard to read.
Here are some to help you:
1) AB¬AB1)~ A \Rightarrow B \equiv \neg A\vee B
2) AB¬B¬A2)~ A \Rightarrow B \equiv \neg B\Rightarrow \neg A
3) ¬(AB)¬(¬AB)3)~ \neg(A \Rightarrow B)\equiv \neg( \neg A\vee B)
 
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