Sufficient & Necessary Questions - - Question 38

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

Rosibeth23 July 15, 2020

"Although"

Hi, Could you explain how I can determine when a statement is a "AND" statement. For example, for this question I diagramed: Economy Weak --> Prices Remain Constant Prices Remain Constant-->Unemployment Increases Instead of, Economy Weak--> Prices Remain Constant AND Unemployment Increases Can you explain to me what types of words or clues I should look for when writing a "AND" or "OR" statement?

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Ravi July 15, 2020

@Rosibeth23,

Let's take a look.

EW-->PRC and UR

UR-->ID

ID

If we look at the second statement, the contrapositive states that
when investment isn't decreasing, unemployment isn't rising. /ID-->/UR

Based on the first statement, we know that if unemployment does not
rise or prices do not stay constant, the economy isn't weak. Thus, we
know that it has to be true that the economy isn't weak.

Since this is a must be false question, we want something that
contradicts the conclusion that the economy isn't weak.

(A) must be false because we know that the economy isn't weak (from
our conclusion), and the stimulus tells us that investment isn't
decreasing. There is no way for either portion of this answer choice
to be true, so that's why it's the correct choice and must be false.

Does this make sense? Let us know if you have any other questions!

Ravi July 15, 2020

"Although" is just stating that something else is happening when the economy is weak. That's why we can diagram it as

EW-->PRC and UR

"Although" doesn't signify a conditional relationship between PRC and UR, so we can't write EW-->PRC and PRC-->UR because both PRC and UR are necessary conditions for EW occurring.