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.

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Chapter2: Second-order Linear Odes
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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.
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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