Let a1, a2, an be sets and a = {a1, a2, an}.
[n i=1 ai = a1 ∪ a2 ∪ ∪ an \n i=1 ai = a1 ∩ a2 ∩ ∩ an]
let a, b1, b2, bn be sets.
prove the following theorems (generalized distributive laws for sets).
you may use the distributive law previously given to you as a base case.

Tom and lilly rented a house for $12,000 last year. at the start of the year they bought the house they had been renting directly from the owner for $250,000. they believe they could rent it for $12,000 this year, but stay in the house. how much does tom and lilly’s decision to buy the house change gdp? a. it reduces gdp by $12,000 b. it does not change gdp c. it raises gdp by $238,000 d. it raises gdp by $250,000