Sufficient & Necessary Questions - - Question 40

An air traveler in Beijing cannot fly to Lhasa without first flying to Chengdu. Unfortunately, an air traveler in Be...

laurenlevitt March 29, 2020

"Must" statements

I am having trouble with diagramming the worded statements into abbreviations. Would a must statement mean thats on the necessary side of the equation? So, when it says you cannot fly to Lhasa without flying to C, does that mean that C is the necessary for L?

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BenMingov March 29, 2020

Hi Lauren, thanks for the question!

Yes, "must" indicates a necessary condition. So whichever term is affected by "must" would be necessary, while the other would be sufficient.

As for "without" (and "unless/except/until"), these are also necessary. However, an additional step is required to diagram these. We need to also negate the sufficient condition.

In this case, "you cannot fly to Lhasa without flying to Chengdu"

Without indicates the necessary, so we know this so far

-> Fly Chengdu

Then negate the sufficient (since passage says cannot fly to Lhasa, we negate that and the double negative becomes positive)

Fly Lhasa -> Fly Chengdu

I hope this helps. Please let me know if you have any other questions!

laurenlevitt March 31, 2020

that was helpful, thank you!

Ravi April 12, 2020

@laurenlevitt, let us know if you have any other questions!