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Let R be a relation defined by R={(a, b)...

Let `R` be a relation defined by `R={(a, b): a >= b, a, b in R}`. The relation `R` is (a) reflexive, symmetric and transitive (b) reflexive, transitive but not symmetric (c) symmetric, transitive but not reflexive (d) neither transitive nor reflexive but symmetric

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Reflexive:--If `a >= b` is any relation then `a>=a` ,which is true and thus,it is reflexive
Symmetric:---If `a>=b` it is not always true that `b>=a` and hence it is not symmetric.
Transitive:--If `a>=b` and `b>=c` the `a>=c` thus,it is Transitive.
So, the relation is reflexive, transitive but not symmetric
Thus, option Bis correct.
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