[10 marks] Translations. Let R be the set of all recipes, I be the set of all ingredients, and define the following predicates and constants: Contains(x, y): "x contains y", where x = R, y = I Tasty(x): "x is tasty", where x = R Expensive(y): "y is expensive", where y = I salt I; sugar I chocolate cake ER; spaghetti sauce = R (As in Problem Set 1, assume that the domains contain more elements than just these constants.) Translate each of the following statements into predicate logic. No explanation is necessary. Do NOT define any of your own predicates or sets. You may use the and symbols to compare whether two elements are the same. (a) [2 marks] Every tasty recipe contains more than one ingredient. (b) [2 marks] Some recipes contain at most one expensive ingredient. (c) [2 marks] Some ingredient is contained in every recipe. (d) [2 marks] Chocolate Cake and Spaghetti Sauce have no ingredient in common. (e) [2 marks] If every recipe contains salt, then some recipe contains no sugar