Which of these collections 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 100, the set of integers with absolute value not exceeding 100, and the set of integers greater than 100.

(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.