Let x. yER. If *

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 27E: Let x and y be in Z, not both zero, then x2+y2Z+.
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Let x, y €R. If x<y with x and y very close
to each other. Then which of the following
statements is true?
A. There is at least a rational or
irrational number between xr and
but not both.
B. None of the choices on the list.
C. There exist at least one integer
between x and y;
D. There is at least a rational or
irrational number between r and y.
O E. If x and y are irrationals, then there
are only irrationals between x and y.
Transcribed Image Text:Let x, y €R. If x<y with x and y very close to each other. Then which of the following statements is true? A. There is at least a rational or irrational number between xr and but not both. B. None of the choices on the list. C. There exist at least one integer between x and y; D. There is at least a rational or irrational number between r and y. O E. If x and y are irrationals, then there are only irrationals between x and y.
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