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.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 25E: Determine whether the set S={1,x2,2+x2} spans P2.
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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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