Question

Translate these statements into English, where R(x) is "x is a rabbit "and H(x) is "x hops" and the domain consists of all animals. a) ∀x(R(x) → H(x)) b) ∀x(R(x) ∧ H(x)) c) ∃x(R(x) → H(x)) d) ∃x(R(x) ∧ H(x))

Answer 1

a) For every animal, if the animal is a rabbit, then the animal hops

b) For every animal, the animal is a rabbit and the animal hops

c) there are animals such that if they are rabbits then they hop

d) there are animals such that they are rabbits and they hop

Explanation:

∀ For every

a⇒b a then b

a∧b a and b

∃ there are

Answer 2

A- for every animal, if the animal is a rabbit, the animal hops.

B- every animal is a rabbit and it hops.

C-there are animals that, if they are rabbits, they hop.

D-there are animals that are rabbits and they hop