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On real numbers, (aRb) iff (|a|<|b|). Which statement is correct?वास्तविक संख्याओं पर (aRb) तभी जब (|a|<|b|)। कौन सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: neither reflexive nor symmetric but transitiveन प्रतिवर्ती, न सममित, पर संक्रामी
Step 1: (|a|<|a|) is never true, so it is not reflexive. Step 2: (|1|<|2|) is true but (|2|<|1|) is false, so it is not symmetric. Step 3: If (|a|<|b|) and (|b|<|c|), then (|a|<|c|), so it is transitive.चरण 1: (|a|<|a|) कभी सही नहीं, इसलिए प्रतिवर्ती नहीं है। चरण 2: (|1|<|2|) सही है पर (|2|<|1|) गलत, इसलिए सममित नहीं है। चरण 3: यदि (|a|<|b|) और (|b|<|c|), तो (|a|<|c|), इसलिए संक्रामी है।
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