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Consider sets A and B as follows: A = {x € Zx = 8k + 28 for some k E Z} %3D %3D {y € Z[y = 4m for some m e Z} %3D %3D i) Is A C B? If so, prove this proposition. If not, prove A EB. ii) Is BC A? If so, prove this proposition. If not, prove BEA. iii) Is A = B? Explain why or why not. %3D

Consider sets A and B as follows: A = {x € Zx = 8k + 28 for some k E Z} %3D %3D {y € Z[y = 4m for some m e Z} %3D %3D i) Is A C B? If so, prove this proposition. If not, prove A EB. ii) Is BC A? If so, prove this proposition. If not, prove BEA. iii) Is A = B? Explain why or why not. %3D

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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Consider sets A and B as follows: A = {r € Zx = 8k + 28 for some k E Z} %3D %3D B= {y €Zy= 4m for some m e Z} %3D %3D i) Is A C B? If so, prove this proposition. If not, prove A EB. ii) Is BC A? If so, prove this proposition. If not, prove BEA. iii) Is A = B? Explain why or why not. %3D
Transcribed Image Text:Consider sets A and B as follows: A = {r € Zx = 8k + 28 for some k E Z} %3D %3D B= {y €Zy= 4m for some m e Z} %3D %3D i) Is A C B? If so, prove this proposition. If not, prove A EB. ii) Is BC A? If so, prove this proposition. If not, prove BEA. iii) Is A = B? Explain why or why not. %3D
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