Question
Show that the relation on the set , given by , is an equivalence relation.
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Text solutionVerified
The given relation is reflexive as since for all .
Again the relation is symmetric as if this gives since for all .
Also the relation is transitive as if this gives since for all .
Hence the given relation is reflexive, symmertic and transitive so it's a equivalance relation.
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Question Text | Show that the relation on the set , given by , is an equivalence relation. |
Answer Type | Text solution:1 |
Upvotes | 150 |