Consider relation R={(x,y)|x divides y,xEA,y€A} on the set A={2,3,4,5,10,12,25,30}. (a) Check whether R is reflexive, symmetric, antisymmetric and transitive. Justify your answer in each case. (b) If R is partial order, then draw Hasse diagram, find minimal and maximal elements and decide on minimum and maximum.
Consider relation R={(x,y)|x divides y,xEA,y€A} on the set A={2,3,4,5,10,12,25,30}. (a) Check whether R is reflexive, symmetric, antisymmetric and transitive. Justify your answer in each case. (b) If R is partial order, then draw Hasse diagram, find minimal and maximal elements and decide on minimum and maximum.
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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![Consider relation R={(x,y)\x divides y,xEA,yEA} on the set A={2,3,4,5,10,12,25,30}.
(a) Check whether R is reflexive, symmetric, antisymmetric and transitive. Justify your
answer in each case.
(b) If R is partial order, then draw Hasse diagram, find minimal and maximal elements
and decide on minimum and maximum.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81c3bd1d-70db-45ee-a976-c5986bb3708f%2F9d581449-878c-46d9-8250-5c520c2ad41b%2F4petmkf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider relation R={(x,y)\x divides y,xEA,yEA} on the set A={2,3,4,5,10,12,25,30}.
(a) Check whether R is reflexive, symmetric, antisymmetric and transitive. Justify your
answer in each case.
(b) If R is partial order, then draw Hasse diagram, find minimal and maximal elements
and decide on minimum and maximum.
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