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- 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.

Advanced Engineering Mathematics
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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- 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.
Transcribed Image Text:- 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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