In 9-33, determine whether the given relation is reflexive symmetric, transitive, or none of these. Justify your answer.
R is the “greater thean or equal to” relation on the set of real numbes: For every .
To determine whether the given relation is reflexive, symmetric, transitive, or none of these.
R is the “greater than or equal to” relation on the set of real numbers:
For all x, y ∈ R, x R y ⇔ x = y
Let us consider the given relation as
The relation R is reflective if for every element
We note that R contains and thus R is reflexive.
The relation R on a set A is symmetric if for .
We note that but as1 < and thus R is not symmetric
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