for question 2 - can someone explain how the sufficient and necessary conditions of the embedded condition were id'ed. I got that one wrong.

for question 1, why did we take the contrapositive of (Relocate to this part ---> /Prosper)??

A complex argument includes single claims that both give and receive support.

It's an argument that runs on.

Now you don't just have a premise(s) and 1 conclusion but an additional conclusion birthed from the first.

EX:

in a complex argument you have

premise(s) a - conclusion a

premise ab and conclusion b

premise ab - is a sub-conclusion (or intermediate conclusion or major premise) a claim that receives and gives support to another claim. this is both conclusion and premise.

Congratulations, your argument just had a baby!! Its name is Sub-conclusion.