Daily Drills 32 - Section 32 - Question 4

P: not C → AP: D → not B P: ?C: D → A

mahtubzare August 9, 2017

This is wrong

Is this correct

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Mehran August 10, 2017

@mahtubzare yes it is!

Let's take a closer look to confirm.

D ==> not B

not C ==> A

If we are trying to conclude D ==> A, we would need to connect these two principles.

These would be connected by making "not B" sufficient for "not C" as follows:

D ==> not B ==> not C ==> A

Contrapostive of this chain is:

not A ==> C ==> B ==> not D

So the correct answer here is:

not B ==> not C
C ==> B

So (B) is the correct answer.

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