Question
Show that the relation on the set of all real numbers is reflexive and transitive but not symmetric.
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Text solutionVerified
Let us denote the relation on the set of real numbers be .
Then this relation is reflexive as , .
But this relation is not symmetric as but i.e. but .
Also this relation is transitive as i.e. , .
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Let be relation defined on the set of natural numbers. The minimum number of ordered pairs required to be added in so that enlarged relation becomes an equivalence relation isStuck on the question or explanation?
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Question Text | Show that the relation on the set of all real numbers is reflexive and transitive but not symmetric. |
Answer Type | Text solution:1 |
Upvotes | 150 |