MAT2612
ASSIGNMENT 4
2025
, QUESTION 1
For all a ∈ A, a ≤ a ⇒ R is reflexive
For any a, b ∈ A
If a ≤ b and b ≤ a then a = b ⇒ R is antisymmetric
For any a, b, c ∈ A
If a ≤ b and b ≤ c then a ≤ c ⇒ R is transitive
Simce R is reflexive, antisymmetric and transitive , hence R is a partial order.
QUESTION 2
2.1).
D36 = {1,2,3,4,6,9,12,18,36}
Hasse diagram:
ASSIGNMENT 4
2025
, QUESTION 1
For all a ∈ A, a ≤ a ⇒ R is reflexive
For any a, b ∈ A
If a ≤ b and b ≤ a then a = b ⇒ R is antisymmetric
For any a, b, c ∈ A
If a ≤ b and b ≤ c then a ≤ c ⇒ R is transitive
Simce R is reflexive, antisymmetric and transitive , hence R is a partial order.
QUESTION 2
2.1).
D36 = {1,2,3,4,6,9,12,18,36}
Hasse diagram:
