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On (A={1,2,3,4}), (R={(a,b):a-b=2}). Why is (R) not symmetric?समुच्चय (A={1,2,3,4}) पर (R={(a,b):a-b=2}) है। (R) सममित क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because ((3,1)\in R) but ((1,3)\notin R)क्योंकि ((3,1)\in R) है पर ((1,3)\notin R)
Step 1: ((3,1)) belongs to the relation because (3-1=2). Step 2: Its reverse ((1,3)) does not satisfy (1-3=2). Step 3: A fixed directed difference usually breaks symmetry.चरण 1: ((3,1)) संबंध में है क्योंकि (3-1=2)। चरण 2: इसका उलटा ((1,3)) शर्त (1-3=2) पूरी नहीं करता। चरण 3: निश्चित अंतर वाली दिशा सममितता को तोड़ देती है।
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