Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3} and define a relation R on A as follows: For all x, y EA, x Ry3|(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. [0] = [1] = [2] = [3] = { -6, - 5. - 4, – 3, - 2, - 1,0,1,2,3} {−6, — 5. — 4, — 3, — 2, — 1,0,1,2,3} {-6, - 5.-4, -3, -2,-1,0,1,2,3} {−6, – 5. — 4, – 3, — 2, – 1,0,1,2,3} - X X X How many distinct equivalence classes does R have? 1 X classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3} and define a relation R on A as follows: For all x, y EA, x Ry3|(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. [0] = [1] = [2] = [3] = { -6, - 5. - 4, – 3, - 2, - 1,0,1,2,3} {−6, — 5. — 4, — 3, — 2, — 1,0,1,2,3} {-6, - 5.-4, -3, -2,-1,0,1,2,3} {−6, – 5. — 4, – 3, — 2, – 1,0,1,2,3} - X X X How many distinct equivalence classes does R have? 1 X classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![1. [0/1 Points]
[0] =
[1] =
Let A = {-6, -5, −4, −3,−2, −1, 0, 1, 2, 3} and define a relation R on A as follows:
For all x, y EA, x Ry⇒ 3|(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.
[2] =
DETAILS
[3] =
PREVIOUS ANSWERS
{ −6, — 5. — 4, — 3, -2, - 1,0,1,2,3}
{−6, — 5. — 4, — 3, — 2, — 1,0,1,2,3}
-
-
{ −6, — 5. — 4, — 3, — 2, — 1,0,1,2,3}
{ −6, — 5. — 4, — 3, -2, -1,0,1,2,3}
EPPDISCMATH5 8.3.006.
X
How many distinct equivalence classes does R have?
1
X classes
List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8ef3851-b223-4be3-ac39-739e48c0c7a3%2F70b6ae35-8c04-4dcb-89c2-1bd425a01839%2Fq08rlaj8_processed.png&w=3840&q=75)
Transcribed Image Text:1. [0/1 Points]
[0] =
[1] =
Let A = {-6, -5, −4, −3,−2, −1, 0, 1, 2, 3} and define a relation R on A as follows:
For all x, y EA, x Ry⇒ 3|(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.
[2] =
DETAILS
[3] =
PREVIOUS ANSWERS
{ −6, — 5. — 4, — 3, -2, - 1,0,1,2,3}
{−6, — 5. — 4, — 3, — 2, — 1,0,1,2,3}
-
-
{ −6, — 5. — 4, — 3, — 2, — 1,0,1,2,3}
{ −6, — 5. — 4, — 3, -2, -1,0,1,2,3}
EPPDISCMATH5 8.3.006.
X
How many distinct equivalence classes does R have?
1
X classes
List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
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