1. (15 marks) Consider the following predicates over the set U of all UBC students at the Vancouver or the Okanagan campus: G (r):?is a gourmet chef. Ixspeaks Italian. K (zw): person?knows (is acquainted with) person y. P(r): x is doing a BA in philosophy. S (z): z plays soccer. . W(x) likes watching the Weather chane Rewrite cach of the following statements usig only the quantifiers V and 3, the predicates G, I, K, P, S, and W, the set U, logical connectives (A, V,) and the operators- and A (a) Students who like the weather channel do not play soccer (b) No philosophy student can do all three of: play soccer; speak Italian; and cook a gourmet meal. c) Every Italian speaking soccer player knows a student who studies philosophy. (d) At least two Italian-speaking students do not like the Weather channel