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On (A={1,2,3}), what type is (R={(a,b):|a-b|=1})?(A={1,2,3}) पर (R={(a,b):|a-b|=1}) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Symmetricसममित
Step 1: If (|a-b|=1), then (|b-a|=1) also holds. Step 2: Therefore, the reverse pair also belongs to the relation. Step 3: In absolute difference rules, changing order does not change the value.चरण 1: यदि (|a-b|=1), तो (|b-a|=1) भी होगा। चरण 2: इसलिए ((a,b)) के साथ ((b,a)) भी संबंध में आएगा। चरण 3: निरपेक्ष अंतर वाले नियमों में क्रम बदलने से मान नहीं बदलता।
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