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Let S = {w, x, y, z} and T = {I, 2, 3, 4}, and define a: S -> T and f3: S -> T bya(w) =

Modern Algebra: An Introduction | 6th Edition | ISBN: 9780470384435 | Authors: John R. Durbin ISBN: 9780470384435 451

Solution for problem 1.1 Chapter 1

Modern Algebra: An Introduction | 6th Edition

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Modern Algebra: An Introduction | 6th Edition | ISBN: 9780470384435 | Authors: John R. Durbin

Modern Algebra: An Introduction | 6th Edition

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Problem 1.1

Let S = {w, x, y, z} and T = {I, 2, 3, 4}, and define a: S -> T and f3: S -> T bya(w) = 2, a(x) = 4, aryl = 1, a(z) = 2 and f3(w) = 4, f3(x) = 2, f3(y) = 3, f3(z) = 1.(a) Is a one-to-one? Is f3 one-to-one? Is a onto? Is f3 onto?(b) Let A = {w, y} and B = {x, y,z}. Determine each of the following subsets ofT: alA),f3(B), alA n B), f3(A U B).

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Textbook: Modern Algebra: An Introduction
Edition: 6
Author: John R. Durbin
ISBN: 9780470384435

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Let S = {w, x, y, z} and T = {I, 2, 3, 4}, and define a: S -> T and f3: S -> T bya(w) =