Hi I need help with this problem I have some trouble with partitions:(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

The context is Discrete math /relation

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 integer that leave a remainder of 3 when divided by 6.

2. Relevant equations

Are my answers correct?

3. The attempt at a solution

I found yes for all cases . but I am suspicious.

Thank you for your help

B

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Urgent help with partitions

**Physics Forums | Science Articles, Homework Help, Discussion**