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Which of the following is the property of an equivalence relation? A: Reflexive B: Symmetric C: Transitive

Which of the following is the property of an equivalence relation? A: Reflexive B: Symmetric C: Transitive Correct Answer All three

GIVEN:

Three statements

CONCEPT:

Concept of properties of a relation.

FORMULA USED:

No formula.

CALCULATION:

A relation which is reflexive, symmetric, and transitive is called an equivalence relation.

A relation R on A is called:

  • Reflexive: if a R a ∀ a ∈ A.
  • Symmetric: if a R b ⇒ b R a.
  • Transitive: if a R b ⇒ a R c

 

Hence, All three are correct.

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