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On (\mathbb{R}), (a*b=a+b-3). What is the inverse of (8)?(\mathbb{R}) पर (a*b=a+b-3) है। (8) का प्रतिलोम क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-2)(-2)
Step 1: For identity (e), (a+e-3=a), so (e=3). Step 2: Put (8*b=3): (8+b-3=3), so (b=-2). Step 3: In shifted addition, the inverse is not simply (-a).चरण 1: तत्समक अवयव (e) के लिए (a+e-3=a), इसलिए (e=3)। चरण 2: (8*b=3) रखें, (8+b-3=3) से (b=-2)। चरण 3: बदली हुई जोड़ संक्रिया में प्रतिलोम साधारण (-a) नहीं होता।
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