   # Find the mistake in all the following “proof.” “Theorem:” For all sets A and B , A e ∪ B e by definition of union. It follows that x ∉ B x by definition of umion. It follows that x ∉ A or x ∉ B by definition of complement, and so x ∉ A ∪ B by definition of complement, and so x ∉ B by definition of union. Thus x ∈ ( A ∪ B ) c by definition of complement, and hence A c ∪ B x ⊆ ( A ∪ B ) x ” ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193
Chapter 6.2, Problem 24ES
Textbook Problem
1 views

## Find the mistake in all the following “proof.”“Theorem:” For all sets A and B, A e ∪ B e by definition of union. It follows that x ∉ B x by definition of umion. It follows that x ∉ A or x ∉ B by definition of complement, and so x ∉ A ∪ B by definition of complement, and so x ∉ B by definition of union. Thus x ∈ ( A ∪ B ) c by definition of complement, and hence A c ∪ B x ⊆ ( A ∪ B ) x ”

To determine

To find:

The mistake in the given proof.

### Explanation of Solution

Given information:

Theorem:For all sets A and B, AcBc(AB)c.

“Proof:Suppose A and B are any sets, and xAcBc. Then xAc or xBc by definition of union. It follows that xA or xB by definition of complement, and so xAB by definition of union

### 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

Find more solutions based on key concepts
In Problems 1-4, find the derivative and simplify. 2.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate the integral. 65. sin2x1+cos4xdx

Single Variable Calculus: Early Transcendentals

True or False: n=1(1)nnn+3 converges.

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

Simplify the expressions in Exercises 97106. 21/32122/321/3

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 7-12, refer to the following figure. 11. Which point has an x-coordinate that is equal to zero?

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Evaluating a surface Integral In Exercise 5-8, evaluate S(x2y+z)dS S:z=2,x2+y21,

Calculus: Early Transcendental Functions (MindTap Course List)

Find the derivative of the function. g(u)=(u31u3+1)8

Single Variable Calculus: Early Transcendentals, Volume I

If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second day, then th...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

45 15 63 127

Study Guide for Stewart's Multivariable Calculus, 8th 