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Let A = {x € Z: x = 4y + 1 for some y € Z} and let B = {x € Z : x = 2k + 1 for some k € Z}. Part A Write out at least three distinct elements of A and three distinct elements of B. Part B Is 7 € A? Is 7 € B? Part C Use the element method to write a proof that AC B. udor als ze our Faltanpa talous Gas & se to sloutua Chaden unsa 1020 dotsvars yod odjob anong h Part D Would your proof still work if we instead defined B = {xez: x= 2k + 1 for some k E N}? Briefly explain why or why not.

Let A = {x € Z: x = 4y + 1 for some y € Z} and let B = {x € Z : x = 2k + 1 for some k € Z}. Part A Write out at least three distinct elements of A and three distinct elements of B. Part B Is 7 € A? Is 7 € B? Part C Use the element method to write a proof that AC B. udor als ze our Faltanpa talous Gas & se to sloutua Chaden unsa 1020 dotsvars yod odjob anong h Part D Would your proof still work if we instead defined B = {xez: x= 2k + 1 for some k E N}? Briefly explain why or why not.

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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Let A = {x € Z : x = 4y +1 for some y € Z} and let B = {x € Z : x = 2k +1 for some k € Z}. Part A Write out at least three distinct elements of A and three distinct elements of B. Part B Is 7 € A? Is 7 € B? Part C Use the element method to write a proof that AC B. fine are lo slauta (ha Jens 0050 1025 dot var en god dyb or wo vilgs bize 0173 Part D Would your proof still work if we instead defined B = {x Ez : x = 2k+ 1 for some k E N}? Briefly explain why or why not. 3
Transcribed Image Text:Let A = {x € Z : x = 4y +1 for some y € Z} and let B = {x € Z : x = 2k +1 for some k € Z}. Part A Write out at least three distinct elements of A and three distinct elements of B. Part B Is 7 € A? Is 7 € B? Part C Use the element method to write a proof that AC B. fine are lo slauta (ha Jens 0050 1025 dot var en god dyb or wo vilgs bize 0173 Part D Would your proof still work if we instead defined B = {x Ez : x = 2k+ 1 for some k E N}? Briefly explain why or why not. 3
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