Let S = {2,3,4,8,12,16,24,60}, S by dividing | is a poset. a. Draw a Hasse diagram of (S,|) b. Determine, if any, all elements are maximal, minimal elements, largest elements, andsmallest element of (S,I) c. Let A = {4,8,12,24} Find, if any, all the upper and lower bounds of A.in poset (S,|), Does A have the largest upper limit or the smallest upper limit?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let S = {2,3,4,8,12,16,24,60}, S by dividing | is a poset.

a. Draw a Hasse diagram of (S,|)

b. Determine, if any, all elements are maximal, minimal elements, largest elements, andsmallest element of (S,I)

c. Let A = {4,8,12,24} Find, if any, all the upper and lower bounds of A.in poset (S,|), Does A have the largest upper limit or the smallest upper limit?

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