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If (R={(a,b):a=2b}) on real numbers, why is (R) not symmetric?यदि (R={(a,b):a=2b}) वास्तविक संख्याओं पर है, तो (R) सममित क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (a=2b) does not imply (b=2a)क्योंकि (a=2b) से (b=2a) नहीं मिलता
Step 1: For ((a,b)) to be in the relation, (a=2b) is required. Step 2: The reverse pair ((b,a)) would require (b=2a), which is not generally true. Step 3: ((2,1)) is a simple counterexample because ((1,2)) is not in the relation.चरण 1: ((a,b)) संबंध में होने के लिए (a=2b) चाहिए। चरण 2: उल्टा युग्म ((b,a)) तभी होगा जब (b=2a), जो सामान्यतः नहीं होता। चरण 3: ((2,1)) एक आसान प्रतिउदाहरण है, क्योंकि ((1,2)) संबंध में नहीं है।
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