We consider the relation ๐‘…={(๐‘Ž,๐‘Ž),(๐‘Ž,๐‘),(๐‘Ž,๐‘),(๐‘Ž,๐‘‘),(๐‘Ž,๐‘’),(๐‘,๐‘),(๐‘,๐‘’),(๐‘‘,๐‘Ž),(๐‘’,๐‘)}.Isย ๐‘… transitive? Justify briefly

Question

We consider the relation ๐‘…={(๐‘Ž,๐‘Ž),(๐‘Ž,๐‘),(๐‘Ž,๐‘),(๐‘Ž,๐‘‘),(๐‘Ž,๐‘’),(๐‘,๐‘),(๐‘,๐‘’),(๐‘‘,๐‘Ž),(๐‘’,๐‘)}.Isย ๐‘… transitive? Justify briefly
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Solution 1

A relation R on a set A is said to be transitive if for every a, b, c in A, whenever (a, b) and (b, c) are in R, then (a, c) is also in R.

Let's check the given relation R = {(a,a),(a,b),(a,c),(a,d),(a,e),(b,c),(b,e),(d,a),(e,c)} for transitivity.

We can see that (a, b) and (b, c) are in R, and (a Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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