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Lately I have been having a lot of trouble with "must be true" questions. Can anyone explain why C was the correct answer choice for this question, and not D?
Thank you!
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Lately I have been having a lot of trouble with "must be true" questions. Can anyone explain why C was the correct answer choice for this question, and not D?
Thank you!
3 comments
Thank you very much to both of you for your help! :)
If we translate the question stem to a set of conditionals, it will look like:
"if a democracy functions well, then the electorate is moral and intelligent." or
DFW --> M and I.
The contrapositive of this is (using DeMorgan's Law) : not M or not I --> not DFW.
C states the contrapositive: "If the electorate is not moral or not intelligent, then a democracy will not function well. D says not DFW --> not M or not I, which is a mistaken reversal.
Hope this helps!
This looks like valid argument 1
If A then B
so
If not B then not A
The passage is saying this essentially:
DF (Democracy functions well) -> Moral + Intelligent
Moral or Intelligent -> DF (this is the contrapositive)
C is the Contrapositive of the original statement and is thus the correct answer.
D is is a Mistaken Negation of the original statement because it negates the sufficient and necessary conditions without reversing them.