   Chapter 8.1, Problem 10ES ### 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
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# Let A = { 3 , 4 , 5 } and B = { 4 , 5 , 6 } and let R be the “less than” relation. That is, for every ordered pair ( x , y ) ∈ A × B , x R y           ⇔     x < y . State explicitly which ordered pairs are in R and R − 1 .

To determine

To find:

Explicitly the ordered pairs in R and R1.

Explanation

Given information:

Let A={3,4,5} and B={4,5,6}

R be the “less than” relation. That is, for all (x,y)A×B,

xRyx<y

Calculation:

Let us consider the given sets and the relation as shown below.

A={3,4,5}B={4,5,6}x R yx<y

So, for all (x,y)A×B, we have

{(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)}R

Recall that R1={(y,x)</

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