Sir, please help me (Discrete Math). Thx. Given a partial-ordered relation {(a, b) ∣ a divides b} on the set {2, 4, 6, 8, 10, 30, 60, 120, 240}. a. Draw a Hasse diagram of the poset. b. Look for the maximum element. c. Look for the minimal element. d. If there is exist, look for the greatest element in poset? e. If there is exist, look for the smallest-element in poset? f. Look for UB (upper bound) from {30, 60}. g. Find LB (lower bound) of {30, 60}. h. Find LUB (lower upper bound)  of {8, 30, 60}. i. Find GLB (greatest lower bound) of {8, 30, 60}.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Sir, please help me (Discrete Math). Thx.

Given a partial-ordered relation {(a, b) ∣ a divides b} on the set {2, 4, 6, 8, 10, 30, 60, 120, 240}.

a. Draw a Hasse diagram of the poset.

b. Look for the maximum element.

c. Look for the minimal element.

d. If there is exist, look for the greatest element in poset?

e. If there is exist, look for the smallest-element in poset?

f. Look for UB (upper bound) from {30, 60}.

g. Find LB (lower bound) of {30, 60}.

h. Find LUB (lower upper bound)  of {8, 30, 60}.

i. Find GLB (greatest lower bound) of {8, 30, 60}.

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