1. Consider the logical operators AND and OR. If Joe AND Mary went to the store and one OR the other bought apples, then which conclusion is TRUE, which FALSE and which UNCERTAIN a.) Joe bought apples b.) Mary bought apples c.) Joe and Mary both bought apples d.) Either Joe or Mary bought apples

2. Huntingtons Postulate number 4 is presented below with the two operators and +.

is distributive over +: x (y+z)= (x y)+(x z)

+ is distributive over : x+(y z)=(x+y) (x+z)

Discuss how this postulate relates to the operations of addition and multiplication.