Prove that between every two rational numbers there is an irrational number.

Question:

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

See More Books

Question Posted: May 02, 2016 12:14 PM

See More Questions

Prove that the set of positive rational numbers is countable by showing that the function K is a one-to-one correspondence between the set of positive rational numbers and the set of positive...
One way to find a rational number between two distinct rational numbers is to add the two distinct rational numbers and divide by 2. Do you think that this method will always work for finding an...
Show that between any two different real numbers there is a rational number. Show that between any two different real numbers there are infinitely many rational numbers.
Identify the implied strategies that correspond with the Department of Veterans Affairs Healthcare System High Matrix Score on SWOT quadran that they might look like at your HSO. Also explain why...
Compare and contrast pilot conversion, phased conversion, and simultaneous conversion.
For the circuit in Fig. 4.137, what resistor connected across terminals a-b will absorb maximum power from the circuit? What is that power? 3 k2 10 k 8 V 120 40 kS2
Discuss the types of discrimination that occur in the workplace.
Jo and Velma are equal owners of the JV Partnership. Jo invests $500,000 cash in the partnership. Velma contributes land and a building (basis to her of $125,000, fair market value of $500,000). The...
Luccasen Inc., has a market beta of 1.25. The risk-free interest rate is 3%, and the market risk premium is 8%. Given this information, what is the expected return for Luccasen Inc.?
EasyFind, Inc. sells StraightShot golf balls for $22 per dozen, with a variable manufacturing cost of $11 per dozen. EasyFind is planning to introduce a lower priced ball, Duffer's Delite, that will...
Adapt the proof in Example 4 in Section 1.7 to prove that if n = abc, where a, b, and c are positive integers, then a 3n, b 3n, or c 3n.
S = x1y1 + x2y2 + + xnyn, where x1, x2, . . . , xn and y1, y2, . . . , yn are orderings of two different sequences of positive real numbers, each containing n elements. a) Show that S takes its...
In Problem evaluate each expression. 10!/6!
In 1969, a radical new childrens program appeared on television, one specifically designed to blend education with entertainment (characterproducts.com, 2004). Sesame Street, which has been on the...
Dolly purchased and placed into service qualifying depreciable property in 20X4 at a total cost of $2,250,000. Dolly has elected to take the Section 179 deduction. What is Dollys Section 179...
Ruth Ames died on January 10, 2015. In filing the estate tax return, her executor, Melvin Sims, elects the primary valuation date and amount (fair market value on the date of death). On March 12,...
On the night of October 14, 20X14, a hurricane caused serious damage to Paiges personal vehicle and to the roof of her personal residence, a townhome. Just prior to the hurricane, Paige had a...
In January 2014, Iris Corporation purchased and placed in service a 1933 building that houses retail businesses. The cost was $300,000, of which $25,000 applied to the land. In modernizing the...
Joanne Whitehead is planning the audit of a newly obtained client, Henderson Energy Corporation, for the year ended December 31, 2020. Henderson Energy is regulated by the provincial utility...
Briefly describe the following types of group life insurance plans: a. Group term life insurance b. Group accidental death and dismemberment insurance (AD&D) c. Group universal life insurance d....
Nine students, five men and four women, interview for four summer internships sponsored by a city newspaper. (a) In how many ways can the newspaper choose a set of four interns? (b) In how many ways...
Ten basketball players meet in the school gym for a pickup game. How many ways can they form two teams of five each?
Your statistics teacher announces a twenty-page reading assignment on Monday that is to be finished by Thursday morning. You intend to read the first x1 pages Monday, the next x2 pages Tuesday, and...
81. If push-down accounting is used, what amounts in the Building account appear on Duchess separate balance sheet and on the consolidated balance sheet immediately after acquisition? 82. If...
A Ltd. obtained from B. S. Ltd. a lease of some coal bearing land, the terms being a royalty of ~ 15 per ton of coal raised subject to minimum rent of ~ 75,000 per annum with a right of recoupment of...
The Linux kernel is the largest component of the Linux operating system and is charged with managing the hardware, running user programs, and maintaining the security and integrity of the whole...

Prove that between every two rational numbers there is an irrational number.

Question:

Step by Step Answer:

The idea is to find a small irrational number to add to t...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Statistics questions