Let A be the set {1,2,3,4,5,6}. Let R be the relation on A defined as follows: (a, b) is in R if and only if a - b is one of 0, 2, -2, or 3. (a) (b) Draw the arrow diagram of R. Is R reflexive? Explain your answer. If R symmetric? Explain your answer.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 17E: Does the relation is a brother of have a reflexive property consider one male? A symmetric property...
icon
Related questions
Question

i need this question competed in 5 minutes with handwritten working out

Let A be the set {1,2,3,4,5,6}. Let R be the relation on A defined as follows: (a, b) is in
R if and only if a – b is one of 0, 2, —2, or 3.
(a)
(b)
Draw the arrow diagram of R.
Is R reflexive? Explain your answer.
(c)
If K symmetric? Explain your answer.
(e)
(d)
Is R anti-symmetric? Explain your answer.
Is R transitive? Explain your answer.
Transcribed Image Text:Let A be the set {1,2,3,4,5,6}. Let R be the relation on A defined as follows: (a, b) is in R if and only if a – b is one of 0, 2, —2, or 3. (a) (b) Draw the arrow diagram of R. Is R reflexive? Explain your answer. (c) If K symmetric? Explain your answer. (e) (d) Is R anti-symmetric? Explain your answer. Is R transitive? Explain your answer.
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill