Let us define a relation R in R as aRb if a $\geq$ b. Then R is ______.

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KollegeApply · Accepted Answer

Let us define a relation R in R as aRb if a $\geq$ b. Then R is reflexive, transitive but not symmetric. Explanation: Given that, aRb if a $\geq$ b $\Rightarrow$ aRa $\Rightarrow$ a $\geq$ a which is true. Let aRb, a $\geq$ b, then b $\geq$ a which i not true, So R is not symmetric. But aRb and bRc $\Rightarrow$ a $\geq$ b and b $\geq$ c $\Rightarrow$ a $\geq$ c Hence, R is transitive.

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