In the local zoo, there are four adult carnivorous snakes (all the snakes are th

Question

In the local zoo, there are four adult carnivorous snakes (all the snakes are the same species), three adult vegetarian turtles, one juvenile vegetarian turtle (all the turtles are the same species), and one juvenile vegetarian lizard. These are all reptiles, and there are no other reptiles. We say any two vegetarian animals eat the same diet, and any two carnivorous animals eat the same diet. Which of the following are true? Give an explanation:
(a) For every reptile x, there is a reptile y, such that x and y are different species and eat different diets.
(b) There is a reptile x such that for all reptiles y, x and y are different in at least one way: different species,
different diet, or different growth status (one adult, one juvenile).

Explanation / Answer

a) true, because if x is any of vegetarian then we can always choose carivorous snakes and is x is carnivorous snakes we can choose any of turtle or lizard b) true, because if y is a carnivorous snake then we can choose any four vegetarians snakes but if y is a vegetarian , then if y is a turtle then we can choose the four carnivorous snakes for each of the 4 veg turtles and if y is a lizard then we can choose an adult turtle(varying in growth rate)

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