Daily Drills 21 - Section 21 - Question 3

P: X → AP: C → not ZP: not Z → not AC: ?

pmv231 November 11, 2020

Screen frozen

The mini quizzed won't let me scroll to see the last answers

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Ravi November 11, 2020

@pmv231, I was able to see all of the answers on this one, so try restarting your device, the app, or both.

We have

X-->A
C-->/Z
/Z-->/Z

Our job is to figure out the conclusion. Let's first take the contrapositives of each statement:

X-->A (/A-->/X)
C-->/Z (Z-->/C)
/Z-->/A (A-->Z)

Notice that if we take the first statement, we can combine it with the contrapositive of the third statement and the contrapositive of the second statement to create a transitive chain:

X-->A combined with A-->Z and Z-->/C yields

X-->Z-->Z-->/C

So we can conclude that X-->/C or C-->/X. Thus, D is the correct choice.