[5 Marks question]
- Mr. X claims the following:
If a relation R is both symmetric and transitive, then R is reflexive. For this, Mr. X offers the following proof-
“From xRy, using symmetry we get yRy. Now because R is transitive, xRy and yRy together imply xRx. Therefore, R is reflexive.”
Briefly point out the flaw in Mr. X’s proof. - Give an example of relation R which is symmetric and transitive but not reflexive.
Answer:
Explanation:
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