the set {a, b, c, d} that is (a) [BB] reflexive and symmetric (b) not symmetric and not antisymmetric (c) not symmetric but antisymmetric (d) transitive

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q4

an 4, but not in row 4, column 1.
1234
1 x X
X X
Figure 2.2
23
4.
Transcribed Image Text:an 4, but not in row 4, column 1. 1234 1 x X X X Figure 2.2 23 4.
transitive apply to the following relations on the set of
people.
(a) [BB] is a father of
(b) is a friend of
(c) [BB] is a descendant of
(d) have the same parents
(e) is an uncle of
4. With a table like that in Fig. 2.2, illustrate a relation on
the set {a, b, c, d} that is
(a) [BB] reflexive and symmetric
(b) not symmetric and not antisymmetric
(c) not symmetric but antisymmetric
(d) transitive
Include at least six elements in each relation.
5. Let A = {1, 2, 3}. List the ordered pairs in a relation on
A that is
(a) [BB] not reflexive, not symmetric, and not transitive
(h) reflexive but gith
Transcribed Image Text:transitive apply to the following relations on the set of people. (a) [BB] is a father of (b) is a friend of (c) [BB] is a descendant of (d) have the same parents (e) is an uncle of 4. With a table like that in Fig. 2.2, illustrate a relation on the set {a, b, c, d} that is (a) [BB] reflexive and symmetric (b) not symmetric and not antisymmetric (c) not symmetric but antisymmetric (d) transitive Include at least six elements in each relation. 5. Let A = {1, 2, 3}. List the ordered pairs in a relation on A that is (a) [BB] not reflexive, not symmetric, and not transitive (h) reflexive but gith
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