Let A = = {1, 2, 3, 4, 24} and define a relation R on A as follows: .../ For all x, y E A, x R y + 4|(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. {1,5,9,13,17} x [1] [2] [3] [4] [5] %3D 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.)
Let A = = {1, 2, 3, 4, 24} and define a relation R on A as follows: .../ For all x, y E A, x R y + 4|(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. {1,5,9,13,17} x [1] [2] [3] [4] [5] %3D 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.)
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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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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![Let A =
= {1, 2, 3, 4,
24} and define a relation R on A as follows:
.../
For all x, y E A, x R y + 4|(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.
{1,5,9,13,17} x
[1]
[2]
[3]
[4]
[5]
%3D
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F507ffaff-36d6-4c89-a9b8-d054ae79319d%2Fe1b3f979-1826-4dd4-b35d-79ae10b28ec8%2Fvsnk8ci.png&w=3840&q=75)
Transcribed Image Text:Let A =
= {1, 2, 3, 4,
24} and define a relation R on A as follows:
.../
For all x, y E A, x R y + 4|(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.
{1,5,9,13,17} x
[1]
[2]
[3]
[4]
[5]
%3D
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.)
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