please show the step by step solution. Do not skips steps. Explain your steps Please write on paper Assume that A is a bounded subset of R and that A' is a subset of A. Explain whyA' is a bounded set. Then, show thatinf(A) ≤ inf(A') ≤ sup(A') ≤ sup(A)

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Answered: Assume that A is a bounded subset of R…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.2: Inner Product Spaces

Problem 94E

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Assume that A is a bounded subset of R and that A' is a subset of A. Explain why A' is a bounded set. Then, show that inf(A) ≤ inf(A') ≤ sup(A') ≤ sup(A)