For exercise note that to show there is a unique object

Chapter 4, Problem 35E

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QUESTION: For exercises 32–35 note that to show there is a unique object with a certain property, show that (1) there is an object with the property and (2) if objects A and B have the property, then A = B.Prove that there is at most one real number b with the property that br = r for all real numbers r . (Such a number is called a multiplicative identity.)

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QUESTION: For exercises 32–35 note that to show there is a unique object with a certain property, show that (1) there is an object with the property and (2) if objects A and B have the property, then A = B.Prove that there is at most one real number b with the property that br = r for all real numbers r . (Such a number is called a multiplicative identity.)

ANSWER:

Solution Step 1 : To Prove that there is at most one real number a with the property that a + r = r for all real numbers r.

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