   Chapter 1.7, Problem 20E

Chapter
Section
Textbook Problem
1 views

# Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not reflexive.

To determine

An example of a relation R on a nonempty set A that is symmetric and transitive, but not reflexive.

Explanation

Formula Used:

(1) A relation R on a nonempty set A is reflexive if the following property is satisfied:

xRx for all xA.

(2) A relation R on a nonempty set A is symmetric if the following property is satisfied:

If xRy, then yRx.

(3) A relation R on a nonempty set A is transitive if the following property is satisfied:

If xRy and yRz, then xRz.

Explanation:

Consider the relation R on the set A {a,b} defined as xRy if and only if R={(a,a)}

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In Exercises 7-10, solve the equation. 3x2+2x=0

Calculus: An Applied Approach (MindTap Course List)

#### Write the following numbers in word form.

Contemporary Mathematics for Business & Consumers

#### What are the two requirements for a random sample?

Statistics for The Behavioral Sciences (MindTap Course List)

#### In problems 63-73, factor each expression completely. 72.

Mathematical Applications for the Management, Life, and Social Sciences

#### An integral for the solid obtained by rotating the region at the right about the x-axis is:

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 