Identify whether the following collections of subsets are partitions of S=(-3,-2,-1, 0, 1, 2, 3) and the correct reason for it {−3,−2, 2, 3}, {−1, 1} Multiple Choice О The given collection of sets does not form a partition of S as the union of these sets is not S. О The given collection of sets forms a partition of S as these sets are not mutually disjoint and their union is S. The given collection of sets forms a partition of S as these sets are mutually disjoint and their union is S. О The given collection of sets does not form a partition of S as these sets are not mutually disjoint.

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
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Identify whether the following collections of subsets are partitions of S=(-3,-2,-1, 0, 1, 2, 3) and the correct reason for it
{−3,−2, 2, 3}, {−1, 1}
Multiple Choice
О
The given collection of sets does not form a partition of S as the union of these sets is not S.
О
The given collection of sets forms a partition of S as these sets are not mutually disjoint and their union is S.
The given collection of sets forms a partition of S as these sets are mutually disjoint and their union is S.
О
The given collection of sets does not form a partition of S as these sets are not mutually disjoint.
Transcribed Image Text:Identify whether the following collections of subsets are partitions of S=(-3,-2,-1, 0, 1, 2, 3) and the correct reason for it {−3,−2, 2, 3}, {−1, 1} Multiple Choice О The given collection of sets does not form a partition of S as the union of these sets is not S. О The given collection of sets forms a partition of S as these sets are not mutually disjoint and their union is S. The given collection of sets forms a partition of S as these sets are mutually disjoint and their union is S. О The given collection of sets does not form a partition of S as these sets are not mutually disjoint.
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