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Throughout this set of problems D denotes an ordered integral domain. Prove that if a

Chapter 28, Problem 28.3

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QUESTION:

Throughout this set of problems D denotes an ordered integral domain. Prove that if a, b, e E D, ae > be, and e > 0, then a> b.

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QUESTION:

Throughout this set of problems D denotes an ordered integral domain. Prove that if a, b, e E D, ae > be, and e > 0, then a> b.

ANSWER:

Step 1 of 2

 

Given that  and  

                 Suppose that,  

 

     Then by the properties of ordered integral domain it follows that

               

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