Date: Apr 11, 2012 7:53 PM
Author: wishwy
Subject: Discrete Math

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

a. the set of even and the set of odd numbers
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 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.