7. Which of these collections of subsets are partitions of the set of integers? If not, fix the situation by removing overlap and/or adding more set(s) to account for missing elements. (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, the set of integers leaving a remainder of 2 when divided by 3. (d) the set of integers less than -100, the set of integers with absolute value less than or equal to 100, and the set of integers greater than 100.

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