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Let S be any non-empty set and P(s) be its power set. We define a relation R on P(s) by A R B to mean A ⊆ B i.e. R = {(A,B) : A ⊆ B} then R is

Let S be any non-empty set and P(s) be its power set. We define a relation R on P(s) by A R B to mean A ⊆ B i.e. R = {(A,B) : A ⊆ B} then R is Correct Answer Reflexive, transitive but not symmetric

∴ A ⊆ A ⇒ A R A, ∀ A ∈ P(s)

⇒ R is reflexive

Symmetric : lefer A R B ⇒ A ⊆ B                       B ⊆ A

but not necessary so not symmetric

transitive A R B and B R C ⇒ A ⊆ B and B ⊆ C ⇒ A ⊆ C ⇒ R is transitive 

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