Draw Hasse diagram for D100. Find GLB and LUB for B={10, 20}B={5,10,20,25 }
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Answer:
ANSWER
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Answer:
GLB and LUB for B={10, 20} are 100 and 1, 2, 5 similarly for B={5,10,20,25 } are 100 and 1, 5 respectively.
Step-by-step explanation:
Hasse diagram for D100
(a)To find GLB for B = {10,20}
we find upper bounds of 10 = 20, 50, 100
and also upper bounds of 20 = 100
Therefore, GLB for B = {10, 20} is 100
(b) To find LUB for B = {10,20}
we find divisors of {10,20}
for 10 the divisors are 1, 2, 5
for 20 the divisors are 1, 2, 4, 5, 10
Therefore, LUB for B = {10, 20} is 1, 2, 5
(c) To find GLB for B = {5, 10, 20, 25}
we find upper bounds of 5 = 10, 20, 25, 50, 100
upper bounds of 10 = 20, 50, 100
upper bounds of 20 = 100
and upper bounds of 25 = 50, 100
Therefore, GLB for B = {5, 10, 20, 25} is 100
(d) To find LUB for B = {5, 10, 20, 25}
we find divisors of {5, 10, 20, 25}
for 5 the divisors are 1, 5
for 10 the divisors are 1, 2, 5
for 20 the divisors are 1, 2, 4, 5, 10
for 25 the divisors are 1, 2, 5
Therefore, LUB for B = {5, 10, 20, 25} is 1, 5
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