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On (\mathbb{Z}), (a*b=a+b+1). What is the inverse of (5)?समुच्चय (\mathbb{Z}) पर (a*b=a+b+1) है। (5) का प्रतिलोम क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-7)(-7)
Step 1: For identity (e), (a+e+1=a), so (e=-1). Step 2: From (5*x=-1), (5+x+1=-1). Step 3: Hence (x=-7); always connect inverse with identity.चरण 1: तत्समक (e) के लिए (a+e+1=a), इसलिए (e=-1)। चरण 2: (5*x=-1) से (5+x+1=-1)। चरण 3: अतः (x=-7); प्रतिलोम को हमेशा तत्समक से जोड़कर देखें।
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