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Let X, Y be nonempty sets. Let A, B c X and P, Q C Y. Let f:X → Y be a function. Prove or give counterexamples to the following statements. f (A – B) c f(A) – f(B).

Let X, Y be nonempty sets. Let A, B c X and P, Q C Y. Let f:X → Y be a function. Prove or give counterexamples to the following statements. f (A – B) c f(A) – f(B).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 15BEXP
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Let X, Y be nonempty sets. Let A, B c X and P, Q C Y. Let f:X → Y be a function. Prove or give counterexamples to the following statements. f (A – B) c f(A) – f(B).
Transcribed Image Text:Let X, Y be nonempty sets. Let A, B c X and P, Q C Y. Let f:X → Y be a function. Prove or give counterexamples to the following statements. f (A – B) c f(A) – f(B).
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