Let X be the set of nonempty sets of (-1, 0, 1) and define a relation R on X as follows: For all sets s and tin X, SR 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 X. 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 be the set of nonempty sets of (-1, 0, 1) and define a relation R on X as follows: For all sets s and tin X, SR 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 X. 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.)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 15E: Let A=R0, the set of all nonzero real numbers, and consider the following relations on AA. Decide in...

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