Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 6 - Set Theory - Exercise Set 6.1 - Page 351: 33

Answer

a. Þ (∅) = {∅} b. Þ (Þ (∅)) = Þ ({∅}) = {∅, {∅}} c. Þ ({x, y}) = {∅, {x}, {y}, {x, y}} Þ (Þ (Þ (∅))) = Þ ( {∅, {∅}} ) = { ∅, {∅}, {{∅}}, {∅, {∅}} }

Work Step by Step

a. Þ (∅) = {∅} b. Þ (Þ (∅)) = Þ ({∅}) = {∅, {∅}} c. Þ ({x, y}) = {∅, {x}, {y}, {x, y}} Þ (Þ (Þ (∅))) = Þ ( {∅, {∅}} ) = { ∅, {∅}, {{∅}}, {∅, {∅}} }
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions