2. Write each of the following sentences, in predicate calculus. Use the same predicates across the sentences. Use predicates such as House(x), Pet(x), In(x,y), Live(x,y), Big(x), and Cost(x,y).

a. All houses have at least one bathroom.

b. There is a house in Minneapolis which costs more than any other house.

c. There is only one house in Minneapolis which is in the historical register.

d. There is a pet in each house.

e. Rich people have big houses.

f. All big houses are expensive.

g. All expensive houses are big.

h. A house is expensive if it is big.

i. Any small house costs less than any big house.

j. There is only one house with a garden.