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On real numbers, (R={(a,b):a-b=3}) is given. What is the correct reason it is not symmetric?वास्तविक संख्याओं पर (R={(a,b):a-b=3}) दिया है। यह सममित नहीं है, इसका सही कारण क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (a-b=3) does not imply (b-a=3)क्योंकि (a-b=3) से (b-a=3) नहीं मिलता
Step 1: ((a,b)) is in the relation when (a-b=3). Step 2: The reverse pair ((b,a)) would require (b-a=3), which is not generally true. Step 3: For example, ((4,1)) is in the relation, but ((1,4)) is not.चरण 1: ((a,b)) संबंध में है जब (a-b=3) हो। चरण 2: उल्टा युग्म ((b,a)) तभी होगा जब (b-a=3), जो सामान्यतः सही नहीं है। चरण 3: जैसे ((4,1)) संबंध में है, पर ((1,4)) नहीं है।
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