Let X and Y be defined as follows: X = {a E Z | a = 3x for some x E Z}, and Y = {b E Z |b = 3y – 3 for some y e Z}. - Which statement is true?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 12TFE: True or false Label each of the following statement as either true or false. Let and , then .
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Let X and Y be defined as follows:
X = {a E Z | a = 3x for some
x E Z},
and
Y = {b E Z | b = 3y – 3 for some
y E Z}.
Which statement is true?
X = Y
X ¢ Y.
Y¢ X.
X + Y
Transcribed Image Text:Let X and Y be defined as follows: X = {a E Z | a = 3x for some x E Z}, and Y = {b E Z | b = 3y – 3 for some y E Z}. Which statement is true? X = Y X ¢ Y. Y¢ X. X + Y
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