उद्यौ मन अभिमान बढ़ायौ जदुपाती जोग जानि जिय साँचौ , नैन अकास चढायौ । नारिनि पै मोकौं पठवत हैं कहत सिखावन जोग मन ही मन आप करत प्रशंसा , यह मिथ्या सुख - भोग
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For each of these relations on the set [1, 2, 3, 4], we can decide whether it is
1. reflexive,
2. symmetric,
3. antisymmetric,
4. transitive.
;- [(2, 2),(2, 3),(2, 4),(3, 2),(3, 3),(3, 4)]
• Not reflexive because we do not have (1, 1), (3, 3), and (4, 4).
• Not symmetric because while we we have (3, 4), we do not have (4, 3).
• Not antisymmetric because we have both (2, 3) and (3, 2).
• Thus , Transitive because if we have (a, b) in this relation, then a will be either 2 or 3. Then (2, c)and (3, c) are in the relation for all c 6= 1.
i hope it's your help~~~~
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