Let M and N be nonempty bounded subsets of R and let M + N := {m+n: m € M and n € N}.Prove that for all n € N, the number sup(M + N) − n is an upper bound for M.-

Given: If M and N are both bounded subsets of R. M+N :=m+n : m∈M and n∈N

Answered: M + N = {m+n : m € M and n € N}. Prove…

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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M + N = {m+n : m € M and n € N}. Prove that for all n € N, the number sup(M + N) − n is an upper bound for M. -