A partial order is diagrammed. The element a is related to b, which is related to both c and d. The element d is related to e. The element c is related to both f and g, which are both related to h. 14. List the minimal and maximal elements of the partial order. Is there a minimum? Maximum? 15. Give the lower bounds, upper bounds, least upper bound, and greatest lower bound (when they exist) of the set {b, c, d]. 16. Does the partial order shown form a lattice? Why or why not?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.5: Percents
Problem 14WE
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f
g
C
ca
g
b
а
e
d
Transcribed Image Text:f g C ca g b а e d
A partial order is diagrammed. The element a is related to b, which is related to both
c and d. The element d is related to e. The element c is related to both ƒ and g, which
are both related to h.
14. List the minimal and maximal elements of the partial order. Is there a
minimum? Maximum?
15. Give the lower bounds, upper bounds, least upper bound, and greatest
lower bound (when they exist) of the set {b, c, d}.
16. Does the partial order shown form a lattice? Why or why not?
Transcribed Image Text:A partial order is diagrammed. The element a is related to b, which is related to both c and d. The element d is related to e. The element c is related to both ƒ and g, which are both related to h. 14. List the minimal and maximal elements of the partial order. Is there a minimum? Maximum? 15. Give the lower bounds, upper bounds, least upper bound, and greatest lower bound (when they exist) of the set {b, c, d}. 16. Does the partial order shown form a lattice? Why or why not?
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