   Chapter 7.4, Problem 16ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views

# Show that Q, that set of all rational numbers, is countable.

To determine

To show:

the set of all rational numbers, is countable.

Explanation

Given information:

: The set of rationalnumbers.

Concept used:

The set of rational number is defined as follows:

={pq|p,q and q0}

The set rational number can also be written as ={0}+.

Proof:

From the definition of the rational numbers the set of positive rational numbers can be formed in a sequence as follows.

112131415161...122232425262...132333435363...142434445464

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