Explanation Given information: Assume that R and S are relations on a set A such that both are reflexive. Proof: Let us assume that R and S are reflexive and let a ∈ A . By the definition of reflexive and using that R is reflexive: ( a , a ) ∈ R By the definition of reflexive and using that S is reflexive: ( a , a ) ∈ S By the definition of the intersection, using that ( a ,

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Chapter 8.2, Problem 37ES

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To prove or disprove that if R and S are reflexive, then R∩S is reflexive.

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Chapter 8.2, Problem 36ES

Chapter 8.2, Problem 38ES

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Chapter 8 Solutions

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To prove or disprove that if R and S are reflexive, then R ∩ S is reflexive.

Solution Summary: The author explains that R and S are relations on a set A such that both are reflexive.

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To prove or disprove that if R and S are reflexive, then R∩S is reflexive.

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Chapter 8 Solutions