Let p and q be the following propositions p: Chocolate is the best ice cream flavor q: Zixuan only eats chocolate ice cream Furthermore, let Likes(x, y) denote the statement that person x likes flavor y. For example, Likes(Zixuan, V anilla) denotes the statement “Zixuan likes Vanilla”. Express the following propositions only using p, q, the Likes statement, and logical operators, variables (such as x and/or y), and universal/existential quantifiers. Note that justification is not necessary.
(a) If Zixuan eats ice cream flavors other than chocolate, then chocolate is not the best ice cream flavor.
(b) Chocolate is the best ice cream flavor, but Zixuan does not only eat chocolate ice cream.
(c) Somebody likes Strawberry.
(d) Everybody likes Vanilla or Chocolate.
(e) It is necessary that chocolate be the best ice cream flavor for Zixuan to only eat chocolate ice cream.
(f) No matter what the flavor is, somebody likes it.