   Chapter 8.3, Problem 18ES ### 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
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# Give an example of two sets that are distinct but not disjoint. Find sets A 1 and A 2 and elements x , y , and z such that x that y are in A 1 and y and z are in A 2 but x and z are not both in either of the sets A 1 or A 2 .

To determine

(a)

An example of two sets that are distinct but not disjoint.

Explanation

Given information:

Two sets that are distinct but not disjoint.

Calculation:

For example, let us consider the sets A1={1,2} and the set A2={2}.

A1 and A2 are not disjoint, because the two sets have the element 2 in common

To determine

(b)

To find sets A1 and A2 and elements x, y and z such that x and y are in A1 and y and z are in A2 but x and z are not both in either of the sets A1 or A2.

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