Answered: Prove the following: Let (Y, d) be a…

Prove the following: Let (Y, d) be a metric space. Let B be a bounded subset of Y. If A C B, then A is bounded and diam(A) < diam(B).

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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Prove the following: Let (Y, d) be a metric space. Let B be a bounded
subset of Y. If A C B, then A is bounded and diam(A) < diam(B).

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