Let (X, d) be a metric space, prove that for any x, y, z E X, we have |d(y, z) - d(x, z)| ≤d(x, y).
Let (X, d) be a metric space, prove that for any x, y, z E X, we have |d(y, z) - d(x, z)| ≤d(x, y).
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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![4. Let (X, d) be a metric space, prove that for any x, y, z E X, we have
|d(y, z) - d(x,z)| ≤d(x, y).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0aad5e5-5f72-4448-ac36-adf134944ef5%2F165a3db6-5773-4d26-82d9-399e5271f089%2F8bsa41i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let (X, d) be a metric space, prove that for any x, y, z E X, we have
|d(y, z) - d(x,z)| ≤d(x, y).
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