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Given that not (A and B) implies C, what does (not C) imply?
What is the best way to workthrough these types of problems? Thanks.
Use the law of the contrapositive.
Do you know what that is?
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Given that not (A and B) implies C, what does not (not C) imply? OK, lets see if I got this straight. Another way to say this would be that (A and B) imply C, so (C) implies A and B. So the answer is (not C) implies A and B. Correct?
The final answer is right, but the reasoning isn't.
The Law of Contrapositive says that if A ⇒ B, then (not B) ⇒ (not A).
Putting your implication into this gives (not C) ⇒ not(not(A and B) = (A and B)
However, the direction of an implication can't be reversed in general, so C ⇒ not(A and B) might not be true.
Why did the vector cross the road?
It wanted to be normal.
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