1.) (32 points) Let P(x) be the predicate "z is a dragon." Let Q(T) be the predicate "z breathes fire." Let R(x, y) be the predicate "x and y are the same object." Rewrite the following English statements in symbolic language using the predicates P, Q, and R, universal and existential quantifiers and logical connectives. (a) There are no dragons. (b) Not everything is a dragon (c) There is at least one dragon. (d) There are at least two dragons. (e) There is at most one dragon. (f) There is exactly one dragon. (g) Dragons breathe fire. (h) Only dragons breathe fire