Sufficient & Necessary Questions - - Question 11

Nursing schools cannot attract a greater number of able applicants than they currently do unless the problems of low ...

reyesej4 October 22, 2019

Last sentence of passage

I am unclear why the last sentence "it is clear that with either a shortage of nurses or lowered entrance standards for the profession, the current high quality of health care cannot be maintained" was diagrammed as follows: ASN or LES -> not HQHC I thought with "either" statements we are supposed to choose the Necessary condition and negate the sufficient? But when diagrammed in the explanation it was diagrammed as an IF -> THEN statement. Please explain how to know when to apply the rule or not.

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SamA October 22, 2019

Hello @reyesej4,

Good question. Although that last sentence contains the word "either," it is not an either/or statement as you saw in Mehran's lesson. That refers to a scenario in which there are only two possibilities. For example, I am either short or tall. From this, we derive if/then statements.
If I'm not short, then I'm tall. not S - - - - -> T
If I'm not tall, them I'm short. not T - - - - - > S
These are the phrases for which you choose the necessary condition and negate the sufficient condition.

We diagram that last sentence as an if/then statement because it is one! In this case, the "when" acts as an "if." To paraphrase: If there is either a shortage of nurses or lowered entrance standards, then the current quality of healthcare cannot be maintained.

ASN or LES - - - - - > not HQHC

You have to be able to recognize if/then statements even when they are not explicitly written. It seems like you were able to do so for the first sentence, even though it says "unless."

reyesej4 October 23, 2019

Understood. Thank you!