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# Solved: Determine whether each of these sets is finite, ISBN: 9780073383095 37

## Solution for problem 2E Chapter 2.5

Discrete Mathematics and Its Applications | 7th Edition

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Problem 2E

Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set.

a) the integers greater than 10

b) the odd negative integers

c) the integers with absolute value less than 1.000.000

d) the real numbers between 0 and 2

e) the set A × Z+ where A = {2. 3}

f) the integers that arc multiples of 10

Step-by-Step Solution:

Step 1 </p>

We have to determine ,each of the following sets  is finite , countably infinite  or uncountable .

Step 2 </p>

Definition

A countable set is, a set with the same number of elements as some subsets of  N (N-set of natural numbers )

A countable set is either finite or countably infinite.

A set is countably infinite ,if it has one to one correspondence with N .

Step 3 of 3

##### ISBN: 9780073383095

Since the solution to 2E from 2.5 chapter was answered, more than 335 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The full step-by-step solution to problem: 2E from chapter: 2.5 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: integers, set, countably, infinite, Negative. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set.a) the integers greater than 10________________b) the odd negative integers________________c) the integers with absolute value less than 1.000.000________________d) the real numbers between 0 and 2________________e) the set A × Z+ where A = {2. 3}________________f) the integers that arc multiples of 10” is broken down into a number of easy to follow steps, and 72 words.

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