5. • S contains (w, r) and (2, u). • S is not antisymmetric. • S is not symmetric. • is not transitive. |S| 2 4. IS| < 6. S satisfies all of the following requirements: Construct a binary relation S defined on the set {u, v, w, r, y, z} such that CC HKU SPA KU SPACE CO SPACE CC CE ku HKU

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...
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5.
• S contains (w, x) and (2, u).
• Sis not antisymmetric.
• is not symmetric.
• is not transitive.
|S| 2 4.
|S| < 6.
S satisfies all of the following requirements:
Construct a binary relation S defined on the set {u, v, w, r, y, z} such that
CC HKU SPAC
HKU SPACE C
SPACE CC
CE
KU
Transcribed Image Text:5. • S contains (w, x) and (2, u). • Sis not antisymmetric. • is not symmetric. • is not transitive. |S| 2 4. |S| < 6. S satisfies all of the following requirements: Construct a binary relation S defined on the set {u, v, w, r, y, z} such that CC HKU SPAC HKU SPACE C SPACE CC CE KU
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