Let m and c be the propositions "elephants eat dogs", "monkeys have long tails" and "cats swim on their backs" respectively.

a) express each of these compound propositions as a proper english sentence.

i) (4 points) c ←

ii) (4 points) m ⊕

b) express the following propositions using m and c and logical connectives (including negations)

i) (3 points) monkeys have long tails but cats cannot swim on their backs.

ii) (3 points) unless elephants eat dogs, monkeys do not have long tails.

iii) (3 points) elephants eat dogs whenever cats swim on their backs, and vice versa.

iv) (3 points) no elephant eats dogs.