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] = X [1] [2] [3] How many distinct equivalence classes does R have? 3 classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.) II "I
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] = X [1] [2] [3] How many distinct equivalence classes does R have? 3 classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.) II "I
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 = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3} and define a relation R on A as follows:
For all x, y E A, x R y 31(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] =
How many distinct equivalence classes does R have?
3
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%2Fec161083-7955-40a8-b92d-5c8a1d3b2ce1%2F9dd32c49-7045-4021-91a2-7d7d5fb54080%2Fuio6aid_processed.png&w=3840&q=75)
Transcribed Image Text: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 E A, x R y 31(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] =
How many distinct equivalence classes does R have?
3
classes
List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
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