logically Equivalent Statements

Sticksz

New member
Joined
Sep 6, 2021
Messages
2
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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pka

Elite Member
Joined
Jan 29, 2005
Messages
11,332
You are looking for the equivalent of [imath]\Large p\wedge \neg q [/imath].
I think that I found two in the list. But even at [imath]200\%[/imath] viewing it is hard to read.
Here are some to help you:
[imath]1)~ A \Rightarrow B \equiv \neg A\vee B[/imath]
[imath]2)~ A \Rightarrow B \equiv \neg B\Rightarrow \neg A[/imath]
[imath]3)~ \neg(A \Rightarrow B)\equiv \neg( \neg A\vee B)[/imath]
 
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