The context is Discrete math /relation

Hi I need help with this problem I have some trouble with partitions:

Which of these collections of subsets are partitions of the set of integers?

1- The set of even integer and the set of odd integers.

2- the set of positive integer and the set of negative integers.

3- 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 divisible by 3, the set of integers leaving a remainder of 2 when divided by 3.

4- 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.

5- the set of integers not divisible by 3, the set of even integers and the set of intger that leave a remainder of 3 when divided by 6.

Thank you for your help