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On real numbers, (aRb) if (a=b+1). Is this relation transitive?वास्तविक संख्याओं पर (aRb) तभी जब (a=b+1), क्या यह संबंध संक्रमण है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Noनहीं
Step 1: If (a=b+1) and (b=c+1), then (a=c+2). Step 2: Transitivity would require (a=c+1), which is generally false. Step 3: For algebraic relation conditions, substitute carefully.चरण 1: यदि (a=b+1) और (b=c+1), तो (a=c+2) होगा। चरण 2: संक्रमण के लिए (a=c+1) चाहिए था, जो सामान्यतः सत्य नहीं है। चरण 3: बराबरी जैसी दिखने वाली शर्तों में बीजगणित करके देखें।
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