Heather is doing an indirect proof with five given statements and one conclusion. How many of these statements can be true based on her assumption to contradict the assumption and prove the original conclusion?

Question

gabylovesyou · Answer

@ash2326

the_fizicx99 · Answer

I don't get. Is it about probability?

gabylovesyou · Answer

Indirect proofs... these r the answers 

At most four

All five

Exactly three

At least one

the_fizicx99 · Answer

Well you're given 5 statements and one conclusion so 6.
I'd say A <- educated guess. 
C is "exactly 3" so I don't think it could be pin point accurate.. :/

the_fizicx99 · Answer

No actually just 5 statements. Typo.

da_scienceman · Answer

Is there any relationship between the assumption and the indirect proof? I would say all because if one of such statements is contradictory, can Heather draw any conclusion from it?

gabylovesyou · Answer

im confused

da_scienceman · Answer

i mean if Heather is proving by contradiction, she or he needs to show that such an assumption holds for one statement OR All five are true in order to prove the conclusion right? I would choose at least one as d answer. But pls convince yourself first.

the_fizicx99 · Answer

A or D for me.

da_scienceman · Answer

i would think at least one ...cos if one is used in d proof by contradiction, then it should work, right?

directrix · Answer

@Gabylovesyou at most four ======== 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. http://openstudy.com/updates/4f89918fe4b02251ecc9eea7

anonymous · Answer

IDK look online