Given set A = {1, 2, 3} and S = P(A) The relation is defined as xRy ⇔ |x| = |y| Indicate the number of elements in the set. Is R an equivalence relation? If yes, list the equivalence classes, if not, explain why not.

Given set A = {1, 2, 3} and S = P(A) The relation is defined as xRy ⇔ |x| = |y| Indicate the number of elements in the set. Is R an equivalence relation? If yes, list the equivalence classes, if not, explain why not.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Given set A = {1, 2, 3} and S = P(A)

The relation is defined as xRy ⇔ |x| = |y|

Indicate the number of elements in the set. Is R an equivalence relation? If yes, list the equivalence classes, if not, explain why not.

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