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

Chapter 28, Problem 28.2

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QUESTION:

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

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QUESTION:

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

ANSWER:

Step 1 of 2

Let   and  so adding both sides  and using properties of ordered integral domain it follows that .

 

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