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. Identify whether the following collections of subsets are partitions of R, the set of real numbers, and the correct reason for it: the set of intervals (k, k+1], k = ..., −2, −1, 0, 1, 2, ... Multiple Choice О The given collection of sets forms a partition of R as these sets are pairwise disjoint and their union is R. The given collection of sets does not form a partition of R as these sets are not pairwise disjoint. О The given collection of sets forms a partition of R as these sets are not pairwise disjoint and their union is not R. о The given collection of sets does not form a partition of R as the union of these sets is not R.
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. Identify whether the following collections of subsets are partitions of R, the set of real numbers, and the correct reason for it: the set of intervals (k, k+1], k = ..., −2, −1, 0, 1, 2, ... Multiple Choice О The given collection of sets forms a partition of R as these sets are pairwise disjoint and their union is R. The given collection of sets does not form a partition of R as these sets are not pairwise disjoint. О The given collection of sets forms a partition of R as these sets are not pairwise disjoint and their union is not R. о The given collection of sets does not form a partition of R as the union of these sets is not R.
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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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.
![Identify whether the following collections of subsets are partitions of R, the set of real numbers, and the correct reason for
it:
the set of intervals (k, k+1], k = ..., −2, −1, 0, 1, 2, ...
Multiple Choice
О
The given collection of sets forms a partition of R as these sets are pairwise disjoint and their union is R.
The given collection of sets does not form a partition of R as these sets are not pairwise disjoint.
О
The given collection of sets forms a partition of R as these sets are not pairwise disjoint and their union is not R.
о
The given collection of sets does not form a partition of R as the union of these sets is not R.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e55b468-8393-4fbd-86e4-d84f420c435a%2F76944770-cc33-4245-b56c-d69a34b61e1c%2Femmg81m_processed.png&w=3840&q=75)
Transcribed Image Text:Identify whether the following collections of subsets are partitions of R, the set of real numbers, and the correct reason for
it:
the set of intervals (k, k+1], k = ..., −2, −1, 0, 1, 2, ...
Multiple Choice
О
The given collection of sets forms a partition of R as these sets are pairwise disjoint and their union is R.
The given collection of sets does not form a partition of R as these sets are not pairwise disjoint.
О
The given collection of sets forms a partition of R as these sets are not pairwise disjoint and their union is not R.
о
The given collection of sets does not form a partition of R as the union of these sets is not R.
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