Let X = {−1, 0, 1} and A = ?(x) and define a relation R on A as follows: For all sets s and t in ?(x), s R t ⇔ 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 ∅ for the empty set.)
Let X = {−1, 0, 1} and A = ?(x) and define a relation R on A as follows: For all sets s and t in ?(x), s R t ⇔ 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 ∅ for the empty set.)
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 X = {−1, 0, 1} and A = ?(x) and define a relation R on A as follows:
For all sets s and t in ?(x), s R t ⇔ 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 ∅ for the empty set.)
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