Suppose that A and B are sets and f : A –→ B is a function. Fix subsets X,Y C A. Prove that Imf(X) – Imf(Y) C Imf(X – Y).
Suppose that A and B are sets and f : A –→ B is a function. Fix subsets X,Y C A. Prove that Imf(X) – Imf(Y) C Imf(X – Y).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 26E: 26. Let and. Prove that for any subset of T of .
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![6.
Suppose that A and B are sets and f : A→ B is a function. Fix subsets X,Y C A. Prove
that
Imf(X) – Imf(Y)C Imf(X – Y).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F039207b8-632a-4dc4-a3c4-fd77b3c684b4%2F91c6ce03-21e9-4b48-a4b9-357039a26d8c%2Fm78yi4_processed.png&w=3840&q=75)
Transcribed Image Text:6.
Suppose that A and B are sets and f : A→ B is a function. Fix subsets X,Y C A. Prove
that
Imf(X) – Imf(Y)C Imf(X – Y).
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