Question

Prove that every serial, symmetric, transitive relation must also be reflexive. Is this statement still true if we relax the hypothesis that R is serial?

          Prove that every serial, symmetric, transitive relation must also be reflexive.
Is this statement still true if we relax the hypothesis that R is serial?

Added by Ines W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

08/10/2023

Step 1

- A relation R on a set A is symmetric if for every pair of elements (a,b) in A, if (a,b) is in R, then (b,a) is also in R. - A relation R on a set A is transitive if for every triple of elements (a,b,c) in A, if (a,b) is in R and (b,c) is in R, then (a,c) is also Show more…

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