Let A = {1, 2, 3, 4, ..., 19} and define a relation R on A as follows: For all x, y EA, x Ry4|(x - y). It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R. [1] = {1,5,9,13,17}✔ [2] = {2,6,10,14,18} [3] = {3,7,11,15,19} {4,8,12,16} {1,5,9,13,17} [4] = [5] = ✓
Let A = {1, 2, 3, 4, ..., 19} and define a relation R on A as follows: For all x, y EA, x Ry4|(x - y). It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R. [1] = {1,5,9,13,17}✔ [2] = {2,6,10,14,18} [3] = {3,7,11,15,19} {4,8,12,16} {1,5,9,13,17} [4] = [5] = ✓
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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![Let A = {1, 2, 3, 4, ..., 19} and define a relation R on A as follows:
For all x, y EA, x Ry4|(x - y).
It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R.
[1] = {1,5,9,13,17}✔
[2] = {2,6,10,14,18}
[3] = {3,7,11,15,19}
{4,8,12,16}
[4] =
[5] = {1,5,9,13,17} ✔
How many distinct equivalence classes does R have?
4
classes
List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
[1],[2],[3],[4] *](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1784d6b6-d0da-4ca6-88bb-f1a2aff3fb92%2F86221da2-a952-4647-8aba-ff0dfbdcadf5%2Fxawbkb8_processed.png&w=3840&q=75)
Transcribed Image Text:Let A = {1, 2, 3, 4, ..., 19} and define a relation R on A as follows:
For all x, y EA, x Ry4|(x - y).
It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R.
[1] = {1,5,9,13,17}✔
[2] = {2,6,10,14,18}
[3] = {3,7,11,15,19}
{4,8,12,16}
[4] =
[5] = {1,5,9,13,17} ✔
How many distinct equivalence classes does R have?
4
classes
List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
[1],[2],[3],[4] *
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