   Chapter 8.2, 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
16 views

# In 9—33, determine whether the given relation is reflexive, symmetric, transitive, or none of these. Justify your answers. 10. C is the circle relation on the set of real numbers: For every x ,   y ∈ R ,   x   C   y ⇔ x 2 + y 2 = 1 .

To determine

To determine whether the given relation is reflexive, symmetric, transitive, or none of these.

Explanation

Given information:

C is the circle relation on the set of real numbers:

For all x, y ΕR, x C y ⇔ x2 + y2 = 1.

Calculation:

Reflexive:

C is not reflexive since 1C1 (notice 12+121).

Hence, not reflexive

Symmetric:

C is symmetric since xCy implies yCx (notice that if x2+y2=1, then y2+x2=1 )

### 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 