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.

According to statistics a person will devote 32 years to sleeping and watching tv. the number of years sleeping will exceed the number of years watching tv by 18. over a lifetime, how many years will the person spend on each of these activities

Arestaurant offers a $12 dinner special that has 5 choices for an appetizer, 12 choices for an entrée, and 4 choices for a dessert. how many different meals are available when you select an appetizer, an entrée, and a dessert? a meal can be chosen in nothing ways. (type a whole number.)

Macy spent $36 on jeans. this was $12 less than twice what she spent on a shirt. which equation to solve this, 12x=36 2x=36-12 2x-12=36 12-2x=36