1. Mark as true or false. The implication "If P, then Q " is equivalent to: a) P is necessary for Q b) Q is sufficient for P c) P is sufficient for Q d) Q is necessary for P e) P only if Q f) Q only if P It seems like there's missing something..If P is what? I don't get this. 2. Using predicates S(x) for "x is smart" , M(x) for "x makes a lot of money" , formalize the following satements. a) Some smart people make a lot of money. b) Not all smart people make a lot of money. c) People who are smart make a lot of money d) Only smart people make a lot of money. e) There are people who are not smart but make a lot of money. I don't get this one either. How am I supposed to use S(x) and M(x) here? Thank you!