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On (A={1,2,3,4}), (R={(a,b):a>b}). What is the nature of this relation?समुच्चय (A={1,2,3,4}) पर (R={(a,b):a>b}) है। यह संबंध कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Transitiveसंक्रामक
Step 1: If (a>b) and (b>c), then by the usual order (a>c). Step 2: Therefore ((a,c)) belongs to the relation. Step 3: Both (>) and (<) are transitive when the direction is kept consistent.चरण 1: यदि (a>b) और (b>c), तो सामान्य क्रम से (a>c)। चरण 2: इसलिए ((a,c)) संबंध में होगा। चरण 3: (>) और (<) दोनों दिशा सही रखने पर संक्रामक होते हैं।
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