Consider the directed graph shown in the figure. d Determine the sum of the in-degrees of the vertices for the given graph. Identify whether the following collections of subsets are partitions of R, the set of real numbers, and the correct reason for it: the sets (x+n❘ne Z} for all x = [0, 1) Multiple Choice 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 forms a partition of R as these sets are pairwise disjoint and their union is R. О The given collection of sets does not form a partition of R as the union of these sets is not R. О The given collection of sets does not form a partition of R as these sets are not pairwise disjoint.
Consider the directed graph shown in the figure. d Determine the sum of the in-degrees of the vertices for the given graph. Identify whether the following collections of subsets are partitions of R, the set of real numbers, and the correct reason for it: the sets (x+n❘ne Z} for all x = [0, 1) Multiple Choice 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 forms a partition of R as these sets are pairwise disjoint and their union is R. О The given collection of sets does not form a partition of R as the union of these sets is not R. О The given collection of sets does not form a partition of R as these sets are not pairwise 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
Problem 40WE
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Transcribed Image Text:Consider the directed graph shown in the figure.
d
Determine the sum of the in-degrees of the vertices for the given graph.
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 sets (x+n❘ne Z} for all x = [0, 1)
Multiple Choice
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 forms a partition of R as these sets are pairwise disjoint and their union is R.
О
The given collection of sets does not form a partition of R as the union of these sets is not R.
О
The given collection of sets does not form a partition of R as these sets are not pairwise disjoint.
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