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On (A={1,2,4,8}), (aRb) is defined when (b) is a multiple of (a). What is the nature of this relation?समुच्चय (A={1,2,4,8}) पर (aRb) तब है जब (b) संख्या (a) का गुणज हो। यह संबंध कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Transitiveसंक्रामक
Step 1: If (b) is a multiple of (a), then (b=ak). If (c) is a multiple of (b), then (c=bl). Step 2: Then (c=(ak)l=a(kl)), so (c) is a multiple of (a). Step 3: For multiple and divisibility relations, writing the multiplication form is safest.चरण 1: यदि (b), (a) का गुणज है, तो (b=ak)। यदि (c), (b) का गुणज है, तो (c=bl)। चरण 2: तब (c=(ak)l=a(kl)), इसलिए (c), (a) का गुणज है। चरण 3: गुणज और विभाज्यता वाले संबंधों में गुणन का रूप लिखना सबसे सुरक्षित तरीका है।
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