Write out a proof by contradiction for this fact: There is no smallest positive rational number. Base
Question:
Write out a proof by contradiction for this fact: There is no smallest positive rational number. Base your proof on the fact that if \(r>0\), then \(0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
Lets first understand what a proof by contradiction is This is a form of argument that establishes a ...View the full answer
Answered By
Amit Choudhary
I'm new in this profession regarding online teaching but previously i used to teach students near my college. I am teaching on online platform since last year and got good support from the students. I'm teaching on platforms like chegg and vedantu and also at my home in free time.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use a proof by contradiction to show that there is no rational number r for which r3 + r + 1 = 0. Assume that r = a/b is a root, where a and b are integers and a/b is in lowest terms. Obtain an...
-
When at rest, hydrogen emits a green-blue line with a wavelength of 487 nm. In a certain galaxy, that same line is measured to have a wavelength of 504 nm. 1. Is the galaxy moving toward or away from...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Answer the following questions. a. Office Store has assets equal to $123,000 and liabilities equal to $47,000 at year-end. What is the total equity for Office Store at year-end? b. At the beginning...
-
A 20-kg sphere rests between two smooth planes as shown in Fig. 9-85. Determine the magnitude of the force acting on the sphere exerted by each plane. 20 kg 70 30
-
what are four financial and / or qualitative implications of closing arbor urgent care
-
Lyon Company had the following transactions: Apr. 8 Issued a \(6,000,60\)-day, six percent note payable in payment of an account with Bennett Company. May 15 Borrowed \(\$ 40,000\) from Lincoln Bank,...
-
Variable and fixed overhead variancesvarious issues. Presented here are the original overhead budget and the actual costs incurred during April for Piccolo, Inc. Piccolos managers relate overhead to...
-
Fairways Driving Range Step 7: Forecast Total Cash Flows NOTE: Don't forget salvage value Operating -Additions to Year Cash Flow Working - Capital Spending = = Total Cash Flow Capital 0 $0.00...
-
Use proof by contradiction to prove that if \(x+y>2\), then \(x>1\) or \(y>1\) (or both).
-
Theorem 1 in Section 2.4 states the following: "If \(f\) and \(g\) are continuous functions, then \(f+g\) is continuous." Does it follow logically that if \(f\) and \(g\) are not continuous, then...
-
The fireboat is equipped with two water cannons. The one at A has a nozzle diameter of 6 in, and can pump 3000 gal/min, and the one at B has a nozzle diameter of 3 in. and can pump 1000 gal/min....
-
The cost to build your own network firewall is $10,000 plus $100 daily maintenance. The cost to outsource this is $5,000 plus $200 daily maintenance. What is the break-even point, when the cost to...
-
Allegedly, IKEA has been planning to open its flagship store in India for years now (I remember getting wind of it as long as 5 years ago). Now that the store is finally up and running, there's one...
-
What is a system call interface, and how does it maintain isolation between user space and kernel space? Give examples of how improper handling of system calls could lead to security vulnerabilities.
-
Pronghorn Corp reported net sales $675,000, cost of goods sold $438,750, operating expenses $154,000, and net income $69,525. Calculate the profit margin and gross profit rate. (Round Profit margin...
-
Year A B 0 ($32,000) ($27,500) 1 $15,000 $17,000 2 $22,000 $16,500 3 $19,000 $15,000 The process equipment will run for 3 years. With a MARR of 8%, calculate the following: a) Calculate the Future...
-
Koester, Inc., states in its 2013 10-K fi ling with the SEC that "In October 2013, two major credit rating agencies changed Koester's long-term credit rating outlook to negative and one of the credit...
-
Provide a few individual examples who revealed what aspects of emotional intelligence?
-
Use any test to determine whether the series is absolutely convergent, conditionally convergent, or divergent. In n 32
-
Use any test to determine whether the series is absolutely convergent, conditionally convergent, or divergent. sin(nT/6) 1 + n/n 00 N. n=1
-
Use any test to determine whether the series is absolutely convergent, conditionally convergent, or divergent.
-
Bird's Eye Treehouses, Incorporated, a Kentucky company, has determined that a majority of its customers are located in the Pennsylvania area. Therefore, it is considering using a lockbox system...
-
Given a binomial random variable with n =100 and p =0.4,estimate the Pr[X30] Please send me answer in type form strictly prohibited handwritten solution and don't use chatgpt otherwise I will report...
-
Specific audit objectives in this area include ascertaining that Payroll charges, materials, and other direct costs are summarized accurately and distributed to individual contracts or grant...
Study smarter with the SolutionInn App