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Suppose that the relation R is reflexive. Show that R ∗ is reflexive.

Suppose that the relation R is reflexive. Show that R ∗ is reflexive.

Solution For Suppose that the relation R is reflexive. Show that R^* is reflexive.

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If A = {1, 2, 3, 4 }, define relations on A which have properties of being: reflexive, transitive but not symmetric - Mathematics | Shaalaa.com

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Ex 1.1, 5 - R = {(a, b) : a <= b3} is reflexive, symmetric

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Ex 1.1, 2 - Show R = {(a,b): a<=b2} is neither reflexive

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Ex 1.1, 5 - R = {(a, b) : a <= b3} is reflexive, symmetric

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Ex 1.1, 2 - Show R = {(a,b): a<=b2} is neither reflexive

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