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Fran is doing an indirect proof with four given statements and one conclusion. How many of these statements must be false based on her assumption to contradict the assumption and prove the original conclusion?
Exactly three All four At least one None of them
Uh This is an odd question. I would say at least one. Usually it goes like this Prove A Assume B B implies C etc...etc leading to not B Contradiction!
at most three Because the first statement in an indirect proof is to assume the negation of the theorem to be proved, then one statement is false by design. That means that if there are N statements (excluding conclusion) in the indirect proof, at most (N - 1) will be true.
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