Prove the statement below. Let A = {x | x = 4k – 1 for some k e Z} Let B = {x | x = 4k + 3 for some k e Z} Show A = B

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 30E: 30. Prove statement of Theorem : for all integers .
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Prove the statement below.
Let A
=
{x x = 4k –
1 for some k E Z}
Let B
{x| x = 4k+ 3 for some ke Z}
Show A = B
Transcribed Image Text:Prove the statement below. Let A = {x x = 4k – 1 for some k E Z} Let B {x| x = 4k+ 3 for some ke Z} Show A = B
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