   Chapter 8.3, Problem 42ES ### 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 R be the relation defined in Example 8.3.12. Prove that R is reflexive. Prove that R is symmetric. List four distinct elements in [(1,3)]. List four distinct elements [(2,5)].

To determine

(a)

To prove that R is reflexive.

Explanation

Given information:

Let R be the relation on a set A, the set of all ordered pairs of integers for which the second element of the pair is nonzero.

Define a relation R on A as follows: For all (a,b),(c,d)A,

Proof:

A=Z×(Z{0})R={(( a,b),(

To determine

(b)

To prove that R is symmetric..

To determine

(c)

To list four distinct elements in [(1, 3)].

To determine

(d)

To list four distinct elements in [(2, 5)].

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