What is the correct answer to "It is a fact that R is an equivalence relation on A. Use set-roster notation to list the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets. Enter EMPTY or ∅ for the empty set.)"? Original Problem Statement in image. Let X = {-1, 0, 1} and A = P(x) and define a relation R on A as follows:For all sets s and t in P(x), s Rt A the sum of the elements in s equals the sum of the elements in t.It is a fact that R is an equivalence relation on A. Use set-roster notation to list the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.Enter EMPTY or ø for the empty set.)

Let X=-1,0,1. Then, PX=-1,1,0,-1,0,1,-1,0,0,1,-1,1,∅. Note: The sum of elements of an empty set = 0.…

Answered: Let X = {-1, 0, 1} and A = P(x) and…

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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What is the correct answer to "It is a fact that R is an equivalence relation on A. Use set-roster notation to list the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets. Enter EMPTY or ∅ for the empty set.)"? Original Problem Statement in image.

Let X = {-1, 0, 1} and A = P(x) and define a relation R on A as follows:
For all sets s and t in P(x), s Rt A the sum of the elements in s equals the sum of the elements in t.
It is a fact that R is an equivalence relation on A. Use set-roster notation to list the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.
Enter EMPTY or ø for the empty set.)

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