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Let A be the set of English words that contain the letter

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 1E Chapter 2.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 1E

 Let A be the set of English words that contain the letter x, and let B be the set of English words that contain the letter q. Express each of these sets as a combination of A and B.

a) The set of English words that do not contain the letter x.

b) The set of English words that contain both an x and a

c) The set of English words that contain an x bul not a q.

d) The set of English words that do not contain either an x or a q.

e) The set of English words that contain an x or a q. but not both.

 

Step-by-Step Solution:

Step 1:

Let A:the set of English words that contain the letter x.

and B: the set of English words that contain the letter q.

we need to express each of the given sets as combination of and B.

Step 2:

(a)The set of English words that do not contain the letter x

Here A be the set of English words that contain the letter x.

So,The set of English words that do not contain the letter x is

Step 3:

(b)The set of english words that contain both x and a

The set of english words that contain both x and a is given by

Step 4 of 6

Chapter 2.SE, Problem 1E is Solved
Step 5 of 6

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Let A be the set of English words that contain the letter

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