8. Define relation R on (Z+ U {0}) × Z+ by (a, b)R(c,d) if ad = bc. (a). Prove that R is an equivalence relation. (b). Describe the equivalence class [(2,1)] by listing at least three elements.
8. Define relation R on (Z+ U {0}) × Z+ by (a, b)R(c,d) if ad = bc. (a). Prove that R is an equivalence relation. (b). Describe the equivalence class [(2,1)] by listing at least three elements.
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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Discrete Math please do a and b
![8. Define relation R on (Z+ U {0}) × Z+ by (a, b)R(c,d) if ad = bc.
(a). Prove that R is an equivalence relation.
(b). Describe the equivalence class [(2,1)] by listing at least three elements.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F406a428e-e372-4a4b-b089-49446e71c9a3%2F00dc7950-dbd9-4fb7-af32-efd6fc817934%2F0yva32w_processed.png&w=3840&q=75)
Transcribed Image Text:8. Define relation R on (Z+ U {0}) × Z+ by (a, b)R(c,d) if ad = bc.
(a). Prove that R is an equivalence relation.
(b). Describe the equivalence class [(2,1)] by listing at least three elements.
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