Daily Drills 3 - Section 3 - Question 3

Identify what you can properly conclude from the given premises:P: A → MP: not X → JP: X → not MC: ?

martinnmartinezz October 24, 2016

Help!

I don't really understand how to solve these kinds of questions. Any advice?

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Mehran October 26, 2016

@martinnmartinezz this drill is testing the transitive property.

Here are the premises and their contrapositives:

P: A ==> M
not M ==> not A

P: not X ==> J
not J ==> X

P: X ==> not M
M ==> not X

We can combine these principles using the transitive property as follows:

A ==> M ==> not X ==> J
not J ==> X ==> not M ==> not A

To conclude:

A ==> J
not J ==> not A

Hope that helps! Please watch our video lesson on Sufficient & Necessary conditions for a more in-depth discussion of these concepts.

martinnmartinezz December 1, 2016

I'm sorry but I think my app messed up because the message you sent me is blank. Could you please try resending the explanation?

Paytonrenee March 30, 2021

thank you for the explanation!