Let us define a relation R in R as aRb if `a ge b`. Then, R is

Options

A. an equivalence relation
B. reflexive, transitive but not symmetric
C. symmetric, transitive but not reflexive
D. neither transitive nor reflexive but symmetric

Answer

B

Explanation

Given that, aRb if `a ge b`
`implies aRa implies a ge a ` which is true.
Let aRb, `a ge b,` then `b ge a` which is not true R is not symmetric.
But aRb and b R c
`implies a ge b ` and `b ge c`
` implies a ge c`
Hence, R is transitive.