For these questions, translate English sentences to predicate logic, and translate predicate logic statements to (naturally sounding) English. Use the following domain and predicates:

A: the domain of all animals

C(x): x is a cheetah

T(x): x is a turtle

P(x): x is a pigeon

R(x,y): x runs faster than y

F(x): x can fly

B(x): x is blue

G(x): x is green

E(x,y): x wants to eat y

a) x A, G(x) P(x)

b) x A, P(x) G(x)

c) x A, P(x) G(x)

d) x A, P(x) G(x)

e) Cheetahs run faster than turtles.

f) There is a turtle that runs faster than some cheetah.

g) Cheetahs that want to eat all blue pigeons can fly.

h) Flying blue turtles want to eat green cheetahs and can run faster than pigeons.