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On integers, (a*b=ab). Does (2) have an inverse in integers?पूर्णांकों पर (a*b=ab) दिया है। (2) का प्रतिलोम पूर्णांकों में है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Noनहीं
Step 1: The identity for multiplication is (1). Step 2: (2*x=1) gives (x=\frac{1}{2}), which is not an integer. Step 3: The inverse must belong to the same set.चरण 1: गुणा में तत्समक (1) है। चरण 2: (2*x=1) से (x=\frac{1}{2}) मिलता है जो पूर्णांक नहीं है। चरण 3: प्रतिलोम उसी समुच्चय में होना चाहिए।
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