2. Let P be the set of all people. Consider the following predicates, all with domain P: A(x) ="t is an athlete" F()" runs fast" $(x,y) ="z is shorter than y" L(x,y) ="r likes y" Write the following statements formally, using the given predicates. The domain for all variables must be P; do not define new sets. There is no need to justify. (a) (3 points) "Someone is liked by everyone" (b) (3 points) "Someone is shorter than all athletes" (c) (4 points) "All athletes are shorter than all fast runners