Which of these collections of subsets are partitions of (1,2,3,4,5,6)? For each collection that is not a partition, describe which properties of partitions do not hold. For each collection that is a partition, list the ordered pairs in the equivalence relation associated with the relation, and draw a graph representing that relation. (a) (1,2,3), (3,4), (4,5,6) (b) (1,4), (2,3.6), (5) (e) (1,5,6), (2,3,4) (d) (1,3,5), (2,6)
Which of these collections of subsets are partitions of (1,2,3,4,5,6)? For each collection that is not a partition, describe which properties of partitions do not hold. For each collection that is a partition, list the ordered pairs in the equivalence relation associated with the relation, and draw a graph representing that relation. (a) (1,2,3), (3,4), (4,5,6) (b) (1,4), (2,3.6), (5) (e) (1,5,6), (2,3,4) (d) (1,3,5), (2,6)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Question B3:
Which of these collections of subsets are partitions of (1,2,3,4,5,6)? For each collection that is not a
partition, describe which properties of partitions do not hold. For each collection that is a partition, list
the ordered pairs in the equivalence relation associated with the relation, and draw a graph representing
that relation.
(a) (1,2,3), (3,4), (4,5,6)
(b) (1,4), (2,3,6), (5)
(e) (1,5,6). (2,3,4)
(d) (1,3,5), (2,6)
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