Prove that given any number -r is also rational

Reference no: EM131178749

a. The Archimedean property for the rational numbers states that for all rational numbers r, there is an integer n such that n > r. Prove this property.

b. Prove that given any rational number r, the number -r is also rational.

c. Use the results of parts (a) and (b) to prove that given any rational number r, there is an integer m such that m

Reference no: EM131178749

Questions Cloud

How your articles are consistent with your own findings : Explain how your articles are consistent with your own findings. You need to relate the articles to any of the concepts discussed during the previous weeks.

Corporate taxes-what is the value of the levered firm : A firm with no debt financing has a firm value of $34 million. It has a corporate marginal tax rate of 38 percent. The firm’s investors are estimated to have marginal tax rates of 28 percent on interest income and a weighted average of 21 percent on ..

Family migrants using statistical language : Analyze and compare the data of the percentage of skill and family migrants using statistical language to demonstrate what the data represents?

Describe the components of sales approach : Describe the components of sales approach and discuss whether or not you think their sales plan is effective for a business in that market with that marketing mix.

Prove that given any number -r is also rational : The Archimedean property for the rational numbers states that for all rational numbers r, there is an integer n such that n > r. Prove this property.

Have we chosen the right employee : Once an organization has recruited candidates and they are going through the application process, how do they select the right employee? There are a number of tools and assessments that are used in selecting candidates for any given role.

Calculate the z-score : Out of these 200 students they find that there are 134 females and 66 males. Do the numbers of males and females accepted into colleges differ significantly? Since we have a large sample, please calculate the z-score and use a α = .05.

Examine the concept of product life cycle analysis : Examine the concept of product life cycle analysis. Provide one example of the way in which this analysis can help an organization to determine whether to continue offering a specific service to the community it serves.

Researching has common stock with beta : A company you are researching has a common stock with a beta of 1.5. Currently, Treasury Bills yield 3.2%, and the market portfolio offers an expected return of 12.5%. The preferred stock has a current price of $10 per share and pays a level $2 divid..

User Account

All Pages