   # Use an element argument to prove each statement in 28-38. Assume that all sets are subsets of a universal set U. For all sets A and B , if B ⊆ A c then A ∩ B = ∅ . ### 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 34ES
Textbook Problem
1 views

## Use an element argument to prove each statement in 28-38. Assume that all sets are subsets of a universal set U. For all sets A and B, if B ⊆ A c then A ∩ B = ∅ .

To determine

To Prove:

For all sets A and B, if BAc then AB=ϕ.

### Explanation of Solution

Given information:

For all sets A and B, if BAc then AB=ϕ.

Concept used:

:Union of sets:Intersection of sets

: subset of set

: Null set

Calculation:

Consider the statement as,

“For all sets A and B, if BAc then AB=ϕ ”.

The objective is to prove the above statement is true

Suppose that ABϕ.

Let xAB for some element say x.

Then, by the definition of intersection xA and xB,

### 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
Draw the graph of each equation: 3x5y=15

Elementary Technical Mathematics

Explain why the formula for sample variance is different from the formula for population variance.

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Prove each identity. cotxtanx=cos2xsinxcosx

Trigonometry (MindTap Course List)

Use the guidelines of this section to sketch the curve. y=x2+5x25x2

Single Variable Calculus: Early Transcendentals, Volume I

The general solution to (for x, y > 0) is: a) y = ln x + C b) c) y = ln(ln x + C) d)

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

The directrix of the conic given by is:

Study Guide for Stewart's Multivariable Calculus, 8th

In Exercises 75-98, perform the indicated operations and/or simplify each expression. 91. (2x + y)(2x y)

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

Making Tables and Comparing Functions In Exercises S-1 through S-10, make the table of values. Make a table of ...

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