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On (A={1,2,3}), (R={(a,b):a<b}). Is (R) reflexive?(A={1,2,3}) पर (R={(a,b):a<b}) है। क्या (R) परावर्ती है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Noनहीं
Step 1: Reflexivity would require (a<a) for every (a). Step 2: No number is less than itself. Step 3: A relation based on (<) is generally not reflexive.चरण 1: परावर्तिता के लिए (a<a) हर (a) के लिए सत्य होना चाहिए। चरण 2: कोई संख्या अपने-आप से छोटी नहीं होती। चरण 3: (<) वाला संबंध सामान्यतः परावर्ती नहीं होता।
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