InterviewSolution
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InterviewSolution
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Let R be a relation defined by R = {(a, b) : `a ge b`}, where a and b are real numbers, then R isA. reflexive, symmetric and transitiveB. reflexive, transitive but not symmetricC. symmetric, transitive but not reflexiveD. neither transitive, nor reflexive, not symmetric |
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Answer» Correct Answer - B `R = {(a, b) : a ge b}` We know that, `a ge a` `therefore (a, a)inR, AAainR` R is a reflexive relation. Let `(a, b) in R` `implies a ge b` `cancelimplies b le a` `cancelimplies (b, a) in R` So, R is not symmetric relation. Now, let (a, b) `in R` and (b, c) `in` R. `implies a ge b and b ge c` `implies a ge c` `implies (a, c) in R` `therefore` R is a transitive relation. |
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