Which ofthese collections of subsets are partitions of the

Chapter 8, Problem 8.5.44

(choose chapter or problem)

Which ofthese collections of subsets are partitions of the set of integers? a) the set of even integers and the set of odd integers b) the set of positive integers and the set of negative integers c) the set of integers divisible by 3, the set of integers leaving a remainder of 1 when divided by 3, and the set of integers leaving a remainder of 2 when divided by 3 d) the set of integers less than - 1 00, the set of integers with absolute value not exceeding 1 00, and the set of integers greater than 1 00 e) the set of integers not divisible by 3, the set of even integers, and the set of integers that leave a remainder of 3 when divided by 6

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