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1. Create set E following each step: a. What's your Emplid? Sort the digits of your Emplid. Let set E = { the 5 smallest digits of your Emplid }. Use the roster method and show set E.

1. Create set E following each step: a. What's your Emplid? Sort the digits of your Emplid. Let set E = { the 5 smallest digits of your Emplid }. Use the roster method and show set E.

Advanced Engineering Mathematics
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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QUESTION 1 1. Create set E following each step: a. What's your Emplid? Sort the digits of your Emplid. Let set E = { the 5 smallest digits of your Emplid }. Use the roster method and show set E. 2. Let R be a relation on set E. R = { (x,y) Ix E S, y E S, x < y} %3D Use the roster method to show relation R. 3. Create the matrix representation of relation R. Don't forget to label your rows and columns. Use a table. 4. Is R reflexive? If it is not reflexive, use a specific tuple to explain why. 5. Is R symmetric? If it is not symmetric, use a specific pair of tuples explain why. 6. Is R antisymmetric? If it is not antisymmetric, use a specific pair of tuples to explain why. 7. Is R transitive? If it is not transitive, explain why, using three tuples in your explanation.
Transcribed Image Text:QUESTION 1 1. Create set E following each step: a. What's your Emplid? Sort the digits of your Emplid. Let set E = { the 5 smallest digits of your Emplid }. Use the roster method and show set E. 2. Let R be a relation on set E. R = { (x,y) Ix E S, y E S, x < y} %3D Use the roster method to show relation R. 3. Create the matrix representation of relation R. Don't forget to label your rows and columns. Use a table. 4. Is R reflexive? If it is not reflexive, use a specific tuple to explain why. 5. Is R symmetric? If it is not symmetric, use a specific pair of tuples explain why. 6. Is R antisymmetric? If it is not antisymmetric, use a specific pair of tuples to explain why. 7. Is R transitive? If it is not transitive, explain why, using three tuples in your explanation.
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