6. For every relation R: A ----→ B, we defined Rº: B --> A to be the relation given byx Rºy if and only if y Rx.We called Rº the converse relation of R. Prove that, given two relations R: A --→ B and S: B --→ C,we have that (R; S)° = S° ; R°.

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Answered: 6. For every relation R: A --→ B, we…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.1: Concept Of A Function

Problem 100PS

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6. For every relation R: A --→ B, we defined Rº : B --→ A to be the relation given by x Rºy if and only if y Rx. We called Rº the converse relation of R. Prove that, given two relations R: A --→ B and S: B --→ C, we have that (R; S)° = S° ; Rº.