discrete math

Let P be the set of all people. Consider the following predicates, all with domain P: A(x) ="t is an athlete" F(x) ="r runs fast" S(x,y)="is shorter than y L(x,y) ="v 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) "Some person likes everyone" (b) (3 points) "There is a fast runner who is shorter than someone" (c) (4 points) "Fast runners like athletes