I liked this one so I'm gonna break it down for practice.
(Moon formed from Earth → Formed from outer shell
or Formed from inner core)
+
~Formed from outer shell
→
~Moon formed from Earth
What is the problem with this argument? The argument is
assuming that the other option didn't happen either. If we say, as this question does, that (FE → OS or IS) and we rule out OS, IS is still possible and unanswered for! It could very well be the case that FE
didn't cause OS but
definitely caused IS. The correct answer therefore MUST disprove IS, the idea that the moon was formed from the inner shell.
This is exactly what answer choice (B) does. If the elements of the moon are pretty different from what is in the Earth's core, we could most likely conclude that the the moon was (~Formed from the inner core). So what does this imply? What does this mean? Let me put the main premise up to show you.
(Moon formed from Earth → Formed from outer shell or Formed from inner core)
Well to recap, we have (~Formed from outer shell) from the premises and (~Formed from inner core) from the answer choice. Uh oh! We failed the necessary condition! and if we fail the necessary condition, then the sufficient condition cannot happen! This is shown in the contrapositive...
(~Formed from out shell and ~Formed from inner core → Moon ~formed from Earth
As for the incorrect answers...
(A) Cool. The Earth doesn't seem to be either!
(C) This actually
weakens by eliminating an alternate cause of the Moon's formation. We want to say that the moon
WASN'T formed from the Earth. By
eliminating a possibility that the moon wasn't formed by Earth - but rather a meteoroid - then this gives more reason, albeit a weak reason, to believe that the Earth WAS formed by the Earth.
(D) Okay but we are talking about the EARTH. We don't care if the moon was struck. Get back to me when you are talking about the Earth.
(E) Once again, this is inconsequential.