Sufficient & Necessary Questions - - Question 38

If the economy is weak, then prices remain constant although unemployment rises. But unemployment rises only if inve...

Zikica January 4, 2021

Can you please explain this question again?

I had the answer laid out properly and concluded something completely different! I don't understand the explanation...

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shunhe January 8, 2021

Hi @Zikica,

Thanks for the question! So we can diagram this one, so let’s do that! We’ll start with the first sentence:

Economy weak —> Prices remain constant & Unemployment rises

Now for the second sentence:

Unemployment rises —> Investment decreases

And now onto the last sentence:

~Investment decreases

So this is a fact pattern in which we’re just given three premises, and we have to find something that must be false based on them. Can we combine them at all? Yes, we can. Take the contrapositive of two.

~Investment decreases —> ~Unemployment rises

And then the contrapositive of one.

~Unemployment rises v ~prices remain constant —> ~Economy weak

And now we can link these all together!

~Investment decreases —> ~Unemployment rises —> ~Economy weak

And so remember: this is a MUST BE FALSE question. Can it be true that either the economy is weak or investment is decreasing? No. We know that investment isn’t decreasing. And we know, based on our conditional, that this means the economy isn’t weak. So (A) can’t be true and is the correct answer.

Hope this helps! Feel free to ask any other questions that you might have.