2. Consider the set of integer numbers Z. a) Give an example of a partition 8 of Z such that every element of S is a finite set. b) Give an example of a partition 6' of Z such that ISI 2 5 and 8 contains both finite sets and infinite sets. c) Give an example of a partition 8 ME such that |S| = 5 and every element of S is an infinite set. 3. Give an example of a partition 8 of [1.1] that satisfies all the following requirements: |S| = 5. 8 contains both finite sets and infinite sets, at least one element of 8 contains only positive numbers, and at least one element of 8 contains only integer numbers