of these collections of subsets are partitions of the set of integers? Explain your answer. The set of even integers and the set of odd intergers. The set of positive integers and the set of negative integers. 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. 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. The set of integers not divisible by 3, then set of even integers, and the set of integers that leave a remainder of 3 when divided by 6
of these collections of subsets are partitions of the set of integers? Explain your answer. The set of even integers and the set of odd intergers. The set of positive integers and the set of negative integers. 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. 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. The set of integers not divisible by 3, then set of even integers, and the set of integers that leave a remainder of 3 when divided by 6
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 40WE
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Which of these collections of subsets are partitions of the set of integers? Explain your answer.
- The set of even integers and the set of odd intergers.
- The set of positive integers and the set of negative integers.
- 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.
- 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.
- The set of integers not divisible by 3, then set of even integers, and the set of integers that leave a remainder of 3 when divided by 6.
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