Let A = {2" : m e Z}. A relation - is defined on the set Q+ of positive rational nu a a ~ b E A is an equivalence relation. (b) Describe the elements in the equivalence class [3]. (a) Show that
Let A = {2" : m e Z}. A relation - is defined on the set Q+ of positive rational nu a a ~ b E A is an equivalence relation. (b) Describe the elements in the equivalence class [3]. (a) Show that
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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![7.3.10 Let A = {2" : m E Z}. A relation ~ is defined on the set Q+ of positive rational numbers by
a
E A
b.
a ~ b A
(a) Show that ~ is an equivalence relation.
(b) Describe the elements in the equivalence class [3].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f342c96-a5f9-4223-96f9-f935adc6156a%2F43db90c3-5679-4f5c-adab-9b8c6d4088ef%2F1xsvs8c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7.3.10 Let A = {2" : m E Z}. A relation ~ is defined on the set Q+ of positive rational numbers by
a
E A
b.
a ~ b A
(a) Show that ~ is an equivalence relation.
(b) Describe the elements in the equivalence class [3].
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