Let A and B be sets, let R and S be relations on A and B, respectively, and let f: A -> B be a function. The function f is relation preserving if x R y if and only if f(x) S f(y) : 1. Suppose that f is bijective and relation preserving. Prove that f^(-1) is relation preserving

Let A and B be sets, let R and S be relations on A and B, respectively, and let f: A -> B be a function. The function f is relation preserving if x R y if and only if f(x) S f(y) : 1. Suppose that f is bijective and relation preserving. Prove that f^(-1) is relation preserving

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.1: Functions And Function Notation

Problem 110E

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Let A and B be sets, let R and S be relations on A and B, respectively, and let f: A -> B be a function. The function f is relation preserving if x R y if and only if f(x) S f(y) :

1. Suppose that f is bijective and relation preserving. Prove that f^(-1) is relation preserving

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