Consider the relation R on the set A = {-6, –2,0,1, 4, 5, 6, 7, 15}, defined according to the following rule: For all r, y € A, IRy if and only if (1 = y (mod 5) or z = -y (mod 5) ). Which (if any ) of the following statements is true Select the correct response. A. P = {{-6,–2}, {0}, , {1, 4, 6, 7, 15}} is the partition of Ainto equivalence classes. B. P = {{-6,1,4, 6}, {–2, 7}, {0, 5, 15}} is the partition of A into equivalence classes. c. {- 6,6} is an equivalence class with respect to R. D. [-2]r = [6]r E. 4R7 F. None of above
Consider the relation R on the set A = {-6, –2,0,1, 4, 5, 6, 7, 15}, defined according to the following rule: For all r, y € A, IRy if and only if (1 = y (mod 5) or z = -y (mod 5) ). Which (if any ) of the following statements is true Select the correct response. A. P = {{-6,–2}, {0}, , {1, 4, 6, 7, 15}} is the partition of Ainto equivalence classes. B. P = {{-6,1,4, 6}, {–2, 7}, {0, 5, 15}} is the partition of A into equivalence classes. c. {- 6,6} is an equivalence class with respect to R. D. [-2]r = [6]r E. 4R7 F. None of above
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider the relation R on the set A = {-6, –2,0,1, 4, 5, 6, 7, 15}, defined according to the
following rule:
For all r, y E A, x Ry if and only if
y (mod 5) or r= -y (mod
Which (if any ) of the following statements is true Select the correct response.
A. P = {{-6, -2}; {0}, , {1, 4, 6, 7, 15}} is the partition of Ainto equivalence classes.
B. P = {{-6,1, 4, 6}, {–2, 7}, {0, 5, 15}} is the partition of A into equivalence classes.
C.
·{ - 6,6} is an equivalence class with respect to R.
D. [-2]R = [6]R
E. 4R7
F. None of above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76ca6de0-8547-4763-9a29-cb1ddc82f1b8%2F73d4d6a6-362f-44c5-9b42-b31e8790abf5%2Fsbdg676_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the relation R on the set A = {-6, –2,0,1, 4, 5, 6, 7, 15}, defined according to the
following rule:
For all r, y E A, x Ry if and only if
y (mod 5) or r= -y (mod
Which (if any ) of the following statements is true Select the correct response.
A. P = {{-6, -2}; {0}, , {1, 4, 6, 7, 15}} is the partition of Ainto equivalence classes.
B. P = {{-6,1, 4, 6}, {–2, 7}, {0, 5, 15}} is the partition of A into equivalence classes.
C.
·{ - 6,6} is an equivalence class with respect to R.
D. [-2]R = [6]R
E. 4R7
F. None of above
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