   Chapter 8.2, Problem 35ES ### 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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# In 34-36, assume that R is a relation on a et A. Prove or disprove each statement. If R is symmetricm, then R − 1 is symmetric.

To determine

To prove that if R is symmetric, then R1 is symmetric.

Explanation

Given information:

Assume that R is a relation on a set A and R is symmetric.

Proof:

Let us assume that R is symmetric and let (a,b)R1.

By the definition of the inverse relation:

(b,a)R

By the definition of symmetric relation:

(b,a)R(a,b)R

By the definition of the inverse relation:

(a,b

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