Let $$R1$$ be a relation defined by $$R_1$$ $$={a$$, b|a≥b, a, b∈$$R}$$. Then $$R1$$ is

Correct option is 2Reflexive, transitive but not symmetric

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Let $R_{1}$ be a relation defined by $R_1 = {(a, b) | a \geq b, a, b \in R} .$ Then $R_{1}$ is

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An equivalence relation on R

Reflexive, transitive but not symmetric

Symmetric, Transitive but not reflexive

Neither transitive not reflexive by symmetric

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detailed solution

Correct option is B

For any a∈R, we have a≥a, therefore the relation R is reflexive but it is not symmetric as (2, 1)∈R but (1, 2)∉R. The relation R is transitive also, because (a, b)∈R, (b, c)∈R imply that a≥b and b≥c which is turn imply that a≥c.

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Let R1 be a relation defined by R_1 ={a, b|a≥b, a, b∈R}. Then R1 is

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Ready to Test Your Skills?

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Let $R_{1}$ be a relation defined by $R_1 = {(a, b) | a \geq b, a, b \in R} .$ Then $R_{1}$ is