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If (A={1,2,3,4}) and (R={(a,b):|a-b|\leq 0}), what is (R)?यदि (A={1,2,3,4}) और (R={(a,b):|a-b|\leq 0}) है, तो (R) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Reflexive and contains only diagonal pairsपरावर्ती है और केवल विकर्ण युग्म रखता है
Step 1: (|a-b|\leq 0) is possible only when (|a-b|=0). Step 2: This means (a=b), so all and only diagonal pairs occur. Step 3: A modulus condition with (\leq 0) is essentially an equality condition.चरण 1: (|a-b|\leq 0) तभी संभव है जब (|a-b|=0)। चरण 2: इसका अर्थ (a=b) है, इसलिए सारे और केवल विकर्ण युग्म मिलते हैं। चरण 3: (\leq 0) वाली मापांक शर्त को बराबरी की शर्त समझें।
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