   Chapter 6.3, Problem 44ES ### 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
1 views

# Consider the following set property: For all sets A and B, A-B and B are disjoint. Use an element argument to dirive the property. Use an algebraic argument to dirive the property (by applying properties from theorem 6.2.2). Comment on which method you found easier.

To determine

(a)

To derive:

Use an element argument to derive the property.

Explanation

Given information

(AB)C=(AC)(BC)

Concept used:

(AB)C=(AC)(BC)

Cite a property from Theorem 6.2.2 for every step of the proof.

Solution let A,B and C be any sets. Then

(AB)C=(AB)Cc               By the set difference law=Cc(AB)               By the commutative law for =(CcA)(CcB)    By the distributive law=(ACc)(BCc)    By the commutative law for =(AC)(BC)         By the set difference law

To determine

(b)

To derive:

Use an algebraic argument to derive tile property (by applying properties from Theorem).

To determine

(c)

To derive:

Comment on which method you found easier.

### 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 