4. Let A = {1,2,3,4,5,6,7). For all a, b € A, define a~ b if and only if is a power of 2. (a) What are the ordered pairs in this relation? (b) For each a € A, find a = {re Ar~a}. (e) Explain why defines an equivalence relation on A.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Please answer all sabpart with explation

4. Let A = {1,2,3,4,5,6,7). For all a, b E A. define ab if and only if is a power
of 2.
(a) What are the ordered pairs in this relation?
(b) For each a € A, find a = {re A|x~a}.
(c) Explain why defines an equivalence relation on A.
Transcribed Image Text:4. Let A = {1,2,3,4,5,6,7). For all a, b E A. define ab if and only if is a power of 2. (a) What are the ordered pairs in this relation? (b) For each a € A, find a = {re A|x~a}. (c) Explain why defines an equivalence relation on A.
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