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Every relation which is symmetric and tr...

Every relation which is symmetric and transitive is also reflexive.

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Give an example of a relation which is symmetric and transitive but not reflexive.

Give an example of a relation which is symmetric and transitive but not reflexive.

Give an example of a relation which is symmetric and transitive but not reflexive.

Give an example of a relation which is symmetric and transitive but not reflexive.

Let R be a relation on X, If R is symmetric then xRy impliesyRx . If it is also transitive then xRy and yRx implies xRx .So whenver a relation is symmetric and transitive then it is also reflexive. What is wrong in this argument ?

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Let R be a relation defined by R={(a, b): a >= b, a, b in RR} . 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