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QUESTION 6. Let A = {-42, -7, -6, -2, 1, 10, 11, 29} be a set. Define a binary relation R on A as follows: For all x, y € A, zRy if and only if x = y (mod 9). Given that R is an equivalence relation on A, which one of the following sets P is a partition of A into equivalence classes of R? Choose the correct answer A. P ={{-42}, {-6},{-7,11), (29,-2}, {1}, {10}} B. P ={{-42, -7,-6, -2, 1, 10, 11,29}} C. P = {-42, -7,-6}, {-2,1}, {10, 11,29}} D. P= {-42,-6}, {-7, 11,29},{-2}, {1,10}} E. P ={{-42, -6, -7}, {11,29},{-2}, {1, 10}} F. P ={{-42,-6), (11,29}, {-7, -2}, {1, 10}}

QUESTION 6. Let A = {-42, -7, -6, -2, 1, 10, 11, 29} be a set. Define a binary relation R on A as follows: For all x, y € A, zRy if and only if x = y (mod 9). Given that R is an equivalence relation on A, which one of the following sets P is a partition of A into equivalence classes of R? Choose the correct answer A. P ={{-42}, {-6},{-7,11), (29,-2}, {1}, {10}} B. P ={{-42, -7,-6, -2, 1, 10, 11,29}} C. P = {-42, -7,-6}, {-2,1}, {10, 11,29}} D. P= {-42,-6}, {-7, 11,29},{-2}, {1,10}} E. P ={{-42, -6, -7}, {11,29},{-2}, {1, 10}} F. P ={{-42,-6), (11,29}, {-7, -2}, {1, 10}}

Advanced Engineering Mathematics
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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QUESTION 6. Let A = {-42, -7, -6, -2, 1, 10, 11, 29} be a set. Define a binary relation R on A as follows: For all r, y € A, zRy if and only if x = y (mod 9). Given that R is an equivalence relation on A, which one of the following sets P is a partition of A into equivalence classes of R? Choose the correct answer = {{-42}, {-6}, {-7,11}, {29, -2}, {1}, {10}} A. P = B. P ={{-42, -7, -6, -2, 1, 10, 11,29}} C. P ={{-42, -7,-6}, {-2,1}, {10, 11,29}} D. P= = {{-42,-6}, {-7,11,29},{-2}, {1,10}} E. P ={{-42, -6, -7), (11,29},{-2}, {1,10}} F. P ={{-42,-6}, {11,29}, {-7, -2}, {1, 10}}
Transcribed Image Text:QUESTION 6. Let A = {-42, -7, -6, -2, 1, 10, 11, 29} be a set. Define a binary relation R on A as follows: For all r, y € A, zRy if and only if x = y (mod 9). Given that R is an equivalence relation on A, which one of the following sets P is a partition of A into equivalence classes of R? Choose the correct answer = {{-42}, {-6}, {-7,11}, {29, -2}, {1}, {10}} A. P = B. P ={{-42, -7, -6, -2, 1, 10, 11,29}} C. P ={{-42, -7,-6}, {-2,1}, {10, 11,29}} D. P= = {{-42,-6}, {-7,11,29},{-2}, {1,10}} E. P ={{-42, -6, -7), (11,29},{-2}, {1,10}} F. P ={{-42,-6}, {11,29}, {-7, -2}, {1, 10}}
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