Give an example of a universal set U and a set A so that U is infinite and A is infinite and A is also infinite. Give an example of a universal set U and a set A so that U is infinite and A is infinite and A is not infinite. Give an example of a set A and a set B so that A is infinite and B is infinite and An B is also infinite.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 1TFE: True or False Label each of the following statements as either true or false. Two sets are equal if...
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(1) Give an example of a universal set U and a set A so that U is infinite and A is infinite
and A is also infinite.
(2) Give an example of a universal set U and a set A so that U is infinite and A is infinite
and A is not infinite.
(3) Give an example of a set A and a set B so that A is infinite and B is infinite and
An B is also infinite.
Transcribed Image Text:(1) Give an example of a universal set U and a set A so that U is infinite and A is infinite and A is also infinite. (2) Give an example of a universal set U and a set A so that U is infinite and A is infinite and A is not infinite. (3) Give an example of a set A and a set B so that A is infinite and B is infinite and An B is also infinite.
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