Let X = {a, b, c, d, e,f} and S be the relation on X defined by S = || {(а, а), (а, b), (а, с), (а, d), (а, е), (а,), (b, b), (b, d), (b, е), (b,), (с, с), (с, d), (с, е), (с, /), (d, d), (d, e), (d,f), (e, e), (f,f)} . Is S a partial order? If so, draw its Hasse diagram. If not, give an example showing why.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let X = {a, b, c, d, e,f} and S be the
relation on X defined by S =
||
{(а, а), (а, b), (а, с), (а, d), (а, е), (а, ,
(b, b), (b, d), (b, е), (b,), (с, с), (с, d),
(c, e), (c,f), (d,d),
(d, e), (d,f), (e, e), (f,f)}. Is S a partial
order? If so, draw its Hasse diagram. If not,
give an example showing why.
Transcribed Image Text:Let X = {a, b, c, d, e,f} and S be the relation on X defined by S = || {(а, а), (а, b), (а, с), (а, d), (а, е), (а, , (b, b), (b, d), (b, е), (b,), (с, с), (с, d), (c, e), (c,f), (d,d), (d, e), (d,f), (e, e), (f,f)}. Is S a partial order? If so, draw its Hasse diagram. If not, give an example showing why.
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