#20 - Ann will either take a leave of absence from

[collegen98]

Could someone please review my work on this one?

First sentence:
LoA or QJ --> OF

Second sentence:
~TFO --> Allow LoA
TFO --> ~Allow LoA

We have to prove the conclusion (third sentence): QJ --> TFO.

We end up with the chain QJ --> TFO --> ~Allow LoA.
the contrapositive is Allow Loa --> ~TFO --> ~QJ.

And we know from the first sentence that Ann has to either quit her job or take a leave of absence, so in the contrapositive we see that by allowing the leave of absence and her not quitting, we know that she will take the leave of absence because she has to do the other of the 2 options, which corresponds to answer choice (D).

I'm a little iffy about whether I explained that last part properly. Thank you!

[atierney]

Hello,

Yes! You explained it perfectly! We know that she must do one of the two options, and so when Tony finding out prevents one of the options, she must necessarily do the latter. Let me know if you have any questions on this.