Suppose the following relations are defined on the set of A = {-2, -1,0 1, 2, }, . List the pairs in each relation and determine each relation is reflexive, symmetric and transitive. 1) R= {(a,b) | ab>=0} 2) R = {(a,b) | a > 0} 3) R= {(a,b) | ab = 0} 4) R = {(a,b) | a+b = 0} 5) R = {(a,b)| |a| |b| } 6) R = {(a,b) | a = 2b} %3D %3D
Suppose the following relations are defined on the set of A = {-2, -1,0 1, 2, }, . List the pairs in each relation and determine each relation is reflexive, symmetric and transitive. 1) R= {(a,b) | ab>=0} 2) R = {(a,b) | a > 0} 3) R= {(a,b) | ab = 0} 4) R = {(a,b) | a+b = 0} 5) R = {(a,b)| |a| |b| } 6) R = {(a,b) | a = 2b} %3D %3D
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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Transcribed Image Text:Suppose the following relations are defined on the set of A = {-2, -1, 0 1, 2, }, . List the pairs in
each relation and determine each relation is reflexive, symmetric and transitive.
1) R= {(a,b)| ab>=0}
2) R= {(a,b)| a > 0}
3) R= {(a,b)| ab = 0}
4) R= {(a,b)| a+b = 0}
5) R= {(a,b)||a| = |b| }
6) R= {(a,b) | a = 2b}
%3D
%3D
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