Show that if A is an infinite set, then whenever B is a set, A B

Question:

Show that if A is an infinite set, then whenever B is a set, A ∪ B is also an infinite set.

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 12:17 PM

See More Questions

Show that if A is an m x n matrix such that AAT is non-singular, then rank A = m.
Show that if A is an n ( n matrix whose kth row is the same as the kth row of In, then 1 is an eigenvalue of A?
Show that if A is an orthogonal matrix, then A-1 is orthogonal?
The top ten fiction books on The New York Times Best Sellers List on October 9, 2016, are listed. 1. The Girl on the Train 2. Home 3. The Kept Woman 4. Magic Binds 5. Commonwealth 6. The Light...
What are the differences between the logical and physical ERDS?
Why is strategic flexibility important for strategy formulation when an organisation is at the growth stage?
Clausius-Clayperon equation is applicable to (a) Solid-vapour (b) Solid-liquid (c) Liquid-vapour (d) All of these.
Listed below are five procedures followed by Collins Company.1. Employees are required to take vacations.2. Any member of the sales department can approve credit sales.3. Jethro Bodine ships goods to...
Jeff is willing to invest $5000 in buying shares and bonds of acompany to gain maximum returns. From his past experience, heestimates the relationship between returns and investments made inthis...
Sweeten Company had no jobs in progress at the beginning of March and no beginning inventories. The company has two manufacturing departmentsMolding and Fabrication. It started, completed, and sold...
Suppose that A, B, and C are sets such that A C = B C. Must it be the case that A = B?
Let Ai = {1, 2, 3, . . . , i} for i = 1, 2, 3, . . . . Find (a) (b) Ai.
Given 1000 mL of helium at 15 C and 763 mmHg, determine its volume at 6 C and 420 mmHg.
A mixture of 2 moles propane (1), 3 moles butane (2), and 5 moles pentane (3) is contained at 30 bar and 200C. The van der Waals constants for these species are: Determine the fugacity and fugacity...
What are the variables included in our understanding of buyer behavior?
Why is market research valuable for marketers?
How do you define marketing?
Assume a $0.8+j 0.4$ per unit load at bus 2 is being supplied by a generator at bus 1 through a transmission line with series impedance of $0.05+j 0.1$ per unit. Assuming bus 1 is the swing bus...
Explain the importance of establishing the legitimacy of a new venture.
Citing a scientific article, explain in your own words, how DNA fingerprinting has been used in forensic science to solve crimes and why it may not always be accurate or effective.
For each of the following joint pdfs, find fX (x) and fY (y). (a) f X,Y (x, y)= 1/2 , 0 x 2, 0 y 1 (b) f X,Y (x, y)= 3/2 y2, 0 x 2, 0 y 1 (c) f X,Y (x, y)= 2/3 (x +2y), 0 x 1, 0 y 1 (d) f X,Y (x,...
Let X and Y be two continuous random variables defined over the unit square. What does c equal if fX,Y (x, y)=c(x2 + y2)?
For each of the following joint pdfs, find fX (x) and fY (y). (a) f X,Y (x, y)= 1/2 , 0 x y 2 (b) f X,Y (x, y)= 1/x , 0 y x 1 (c) f X,Y (x, y)=6x, 0 x 1, 0 y 1x
Monitoring of Receivables The Russ Fogler Company, a small manufacturer of cordless telephones, began operations on January 1. Its credit sales for the first 6 months of operations were as follows:...
Current Attempt in Progress On May 1, 2022. Sunland Corp. issued $850,000. 9%, 5-year bonds at face value. The bonds were dated May 1, 2022, and pay interest annually on May 1. Financial statements...
Panamint Systems Corporation is estimating activity costs associated with producing disk drives, tapes drives, and wire drives. The indirect labor can be traced to five separate activity pools. The...

Show that if A is an infinite set, then whenever B is a set, A B

Question:

Step by Step Answer:

We give a proof by contradiction If A B is finite then it ...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Statistics questions