please only do: if you can teach explain each proofs - Recall that for x, y ≤ R, x - y = R is the absolute value of x-y. That is,if x-y 20|x - y =if x-y<0.x-y|-(x−y)Define the binary relation R on R as follows:Is this binary relation(a) reflexive(b) symmetric(c) antisymmetric(d) transitivexRy if |xy| < 1.

Answered: Image /qna-images/answer/040f39ba-7f43-4742-b869-a952c989f744.jpg

- Recall that for x, y € R, x - y = R is the absolute value of x-y. That is, if x-y 20 if x-y<0. x-y -(x-y) Define the binary relation R on R as follows: Is this binary relation (a) reflexive (b) symmetric (c) antisymmetric (d) transitive |x - y = xRy if x - y < 1.

- Recall that for x, y € R, x - y = R is the absolute value of x-y. That is, if x-y 20 if x-y<0. x-y -(x-y) Define the binary relation R on R as follows: Is this binary relation (a) reflexive (b) symmetric (c) antisymmetric (d) transitive |x - y = xRy if x - y < 1.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...

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Question

please only do: if you can teach explain each proofs

- Recall that for x, y ≤ R, x - y = R is the absolute value of x-y. That is,
if x-y 20
|x - y =
if x-y<0.
x-y
|-(x−y)
Define the binary relation R on R as follows:
Is this binary relation
(a) reflexive
(b) symmetric
(c) antisymmetric
(d) transitive
xRy if |xy| < 1.

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