Let A = {1, 2, 3, 4} Let R be defined on A x A where a Ry if æ > y . a) Draw a mapping diagram of R from A onto itself. b) Use the diagram to determine whethere R is refelxive, symmetric, or transitive. Justify your answers using the diagram.
Let A = {1, 2, 3, 4} Let R be defined on A x A where a Ry if æ > y . a) Draw a mapping diagram of R from A onto itself. b) Use the diagram to determine whethere R is refelxive, symmetric, or transitive. Justify your answers using the diagram.
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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![Relations
Let A = {1, 2, 3, 4}
Let R be defined on A x A where æ Ry if x > y .
a) Draw a mapping diagram of R from A onto itself.
b) Use the diagram to determine whethere R is refelxive, symmetric, or transitive. Justify your answers using
the diagram.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07546766-63d0-4d74-b8c6-8a4c09c9f342%2F2af483bb-fbe0-4a5b-8f3f-e1c1ff2d4d20%2Ffiy0ax_processed.png&w=3840&q=75)
Transcribed Image Text:Relations
Let A = {1, 2, 3, 4}
Let R be defined on A x A where æ Ry if x > y .
a) Draw a mapping diagram of R from A onto itself.
b) Use the diagram to determine whethere R is refelxive, symmetric, or transitive. Justify your answers using
the diagram.
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