Let $R = {(a, b) | a \geq b, a, b \in R}$ is a

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Equivalence relations

Reflexive , symmetric but not transitive

Reflexive, transitive but not symmetric

Only reflexive

answer is C.

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Detailed Solution

$\begin{array}{l} R e f : a \geq b i s t r u e (a, b) \in R \\ S y m m e t r i c : a \geq b \Rightarrow b \geq a n o t p o s s i b l e \\ T r a n s i t i v e : a \geq b a n d b \geq c \Rightarrow a \geq c i s t r u e \end{array}$

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