Which one of the following, if substituted for the condition that if jalapeño is an ingredient, yam must not be an in...

Crook on April 25, 2020

What’s the difference?

Hello, What is the difference between A and B on this question?

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Skylar on April 26, 2020

@Crook, happy to help!

(A) and (B) differ with regards to what they identify as the Sufficient and Necessary variables.

Remember, the term "only if" introduces the Necessary condition. Since (A) and (B) both use this term but flip the variable that follows it, they flip the variable that is Necessary and diagram out to have different meanings.

(A) Potato is an ingredient only if jalapeno is an ingredient.
P -> J
NOT J -> NOT P

(B) Jalapeno is an ingredient only if potato is an ingredient.
J -> P
NOT P -> NOT J

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