Quantifiers Questions - - Question 7

Roses always provide a stunning display of color, but only those flowers that smell sweet are worth growing in a gard...

Dschramm24 May 31, 2020

WGG --> SS vs. SS --> WGG

Can I get an explanation to use for later on how to determine how to clearly identify the order in how this statement is supposed to be diagrammed? The reason I got it wrong was that I wrote that if it's a SS, than it's worth growing in the garden, but the answer is that if it's worth growing in the garden, it has a sweet smell. Are there key words I'm overlooking that I need to be on the lookout for?

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Skylar May 31, 2020

@Dschramm24, happy to help!

The passage states that "only those flowers that smell sweet are worth growing in a garden."

The key word here is ONLY, which is a necessary indicator. This means that the phrase following the word "only" will be the necessary variable. In this case, that is "flowers that smell sweet." We then make the other part of the sentence into the sufficient variable. Here, that is "worth growing in the garden." So, our diagram looks like: WGG -> SS

As you mention, key words are an important part of questions like these. To practice, I would recommend reviewing words that serve as sufficient and necessary indicators.

Does that make sense? Please let us know if you have any other questions!

Dschramm24 June 3, 2020

Makes sense, thank you !

jbenav246@gmail.com January 20, 2021

I've read your explanation and it makes sense! Like Danny, I wrote SS --> WGG instead of WGG --> SS, but I still got the answer right.
1) I believe I have read in a different reply from a tutor saying that it's okay if I diagram it either way because the contrapositive would help... is this right or am I misunderstanding?
2) Can I not pick a variable and make it necessary and negate the other variable to make it sufficient? Or is this only for the trigger word "unless" ?