An integer a is said to be a type 0 integer if there exists an integer n such that a D 3n. An integer a is said to be a type 1 integer if there exists an integer n such that a D 3n C 1. An integer a is said to be a type 2 integer if there exists an integer m such that a D 3m C 2. ? (a) Give examples of at least four different integers that are type 1 integers. (b) Give examples of at least four different integers that are type 2 integers. ? (c) By multiplying pairs of integers from the list in Exercise (9a), does it appear that the following statement is true or false? If a and b are both type 1 integers, then a b is a type 1 integer.

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