×
Log in to StudySoup
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 2.2 - Problem 45e
Join StudySoup for FREE
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 2.2 - Problem 45e

Already have an account? Login here
×
Reset your password

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

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 45E Chapter 2.2

Discrete Mathematics and Its Applications | 7th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

4 5 1 272 Reviews
30
4
Problem 45E

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

Step-by-Step Solution:
Step 1 of 3

Solution:Step1To findWe have to show that if A is an infinite set, then whenever B is a set. A B is also an infinite set.Step2The union of sets A and B can be written asWe have to take all possible cases of set B.Case1:-Suppose A be an infinite set and B= then =AHence, A is an infinite set.Case2:-Assume B=A then is an infinite set.Case3:-Assume B is a finite set thenIs also an infinite set because A is infinite.So, will always infinite.Case4:-Assume if B is an infinite set thenIs also an infinite set as A and B are infinite sets.So, will be also infinite.Hence, from above all the cases it is clear that is an infinite set.

Step 2 of 3

Chapter 2.2, Problem 45E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

Other solutions

Discover and learn what students are asking








Statistics: Informed Decisions Using Data : Tests for Independence and the Homogeneity of Proportions
?What’s in a Word? In a recent survey conducted by the Pew Research Center, a random sample of adults 18 years of age or older living in the continenta

Statistics: Informed Decisions Using Data : Inference on the Least-Squares Regression Model and Multiple Regression
?Crickets make a chirping noise by sliding their wings rapidly over each other. Perhaps you have noticed that the number of chirps seems to increase wi




People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

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