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Which of these properties does the greater than or equal to relation, r={(a,b)∣a,b∈Z,a≥b}, enjoy?

a) Reflexivity
b) Symmetry
c) Transitivity
d) Asymmetry

User Ajeet Khan
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Final answer:

The greater than or equal to relation, r, enjoys reflexivity, transitivity, and asymmetry.

Step-by-step explanation:

The greater than or equal to relation, denoted as ≥, is reflexive, transitive, and asymmetric. Reflexivity means that every element is related to itself. For example, in the relation r, (a, a) belongs to r for any value of a. Transitivity means that if (a, b) and (b, c) belong to r, then (a, c) also belongs to r. For example, if a ≥ b and b ≥ c, then a ≥ c. Asymmetry means that if (a, b) belongs to r, then (b, a) does not belong to r. For example, if a ≥ b, then b is not greater than or equal to a.

User Meline
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