Let R be a relation on A = {0, 3, 4, 7} and R = {(0, 3), (3, 0), (7, 3), (4, 4), (7, 7), (3, 7), (3, 3)}. Are the following statements true or false? ? ? ? ? ? ? 1. R is symmetric 2. R is anti-symmetric 3. R is transitive 4. R is reflexive 5. R is a partial order 6. R is an equivalence relation
Let R be a relation on A = {0, 3, 4, 7} and R = {(0, 3), (3, 0), (7, 3), (4, 4), (7, 7), (3, 7), (3, 3)}. Are the following statements true or false? ? ? ? ? ? ? 1. R is symmetric 2. R is anti-symmetric 3. R is transitive 4. R is reflexive 5. R is a partial order 6. R is an equivalence relation
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:Let R be a relation on A = {0, 3, 4, 7} and
R = {(0, 3), (3, 0), (7, 3), (4, 4), (7, 7), (3, 7), (3, 3)}.
Are the following statements true or false?
?
?
?
?
?
?
1. R is symmetric
↑
2. R is anti-symmetric
3. R is transitive
◆ 4. R is reflexive
5. R is a partial order
♦ 6. R is an equivalence relation

Transcribed Image Text:Let R be a relation on A = {0, 1, 4, 7} and
R =
{(7, 7), (7, 1), (4, 4), (0, 0), (1, 7), (1, 1)}. Are the
following statements true or false?
False 1. R is anti-symmetric
True 2. R is symmetric
True 3. R is an equivalence relation
True C 4. R is reflexive
False 5. R is a partial order
True 6. R is transitive
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